Relevant bibliographies by topics / Electrons Wave functions

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers

Academic literature on the topic 'Electrons Wave functions'

Author: Grafiati
Published: 4 June 2021
Last updated: 4 February 2022

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Journal articles on the topic "Electrons Wave functions"

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CHUEV, G. N., M. V. FEDOROV, H. J. LUO, D. KOLB, and E. G. TIMOSHENKO. "3D WAVELET TREATMENT OF SOLVATED BIPOLARON AND POLARON." Journal of Theoretical and Computational Chemistry 04, no. 03 (September 2005): 751–67. http://dx.doi.org/10.1142/s0219633605001787.

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Three-dimensional discrete tensor wavelets are applied to calculate wave functions of excess electrons solvated in polar liquids. Starting from the Hartree–Fock approximation for the electron wave functions and from the linear response to the solute charge for the solvent, we have derived the approximate free energy functional for the excess electrons. The orthogonal Coifman basis set is used to minimize the free energy functional and to approximate the electron wave functions. The scheme is applied to the calculation of the properties of the solvated electron and the singlet bipolaron formation. The obtained results indicate that the proposed algorithm is fast and rather efficient for calculating the electronic structure of the solvated molecular solutes.
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McMorran, Benjamin J., Amit Agrawal, Peter A. Ercius, Vincenzo Grillo, Andrew A. Herzing, Tyler R. Harvey, Martin Linck, and Jordan S. Pierce. "Origins and demonstrations of electrons with orbital angular momentum." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 375, no. 2087 (February 28, 2017): 20150434. http://dx.doi.org/10.1098/rsta.2015.0434.

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The surprising message of Allen et al. (Allen et al. 1992 Phys. Rev. A 45 , 8185 ( doi:10.1103/PhysRevA.45.8185 )) was that photons could possess orbital angular momentum in free space, which subsequently launched advancements in optical manipulation, microscopy, quantum optics, communications, many more fields. It has recently been shown that this result also applies to quantum mechanical wave functions describing massive particles (matter waves). This article discusses how electron wave functions can be imprinted with quantized phase vortices in analogous ways to twisted light, demonstrating that charged particles with non-zero rest mass can possess orbital angular momentum in free space. With Allen et al. as a bridge, connections are made between this recent work in electron vortex wave functions and much earlier works, extending a 175 year old tradition in matter wave vortices. This article is part of the themed issue ‘Optical orbital angular momentum’.
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Repetsky, S., I. Vyshyvana, S. Kruchinin, and S. Bellucci. "Tight-binding model in the theory of disordered crystals." Modern Physics Letters B 34, no. 19n20 (July 8, 2020): 2040065. http://dx.doi.org/10.1142/s0217984920400655.

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This paper presents a new method of describing electronic spectrum, thermodynamic potential, and electrical conductivity of disordered crystals based on the Hamiltonian of multi-electron system and diagram method for Green’s functions finding. Electronic states of a system were described by multi-band tight-binding model. The Hamiltonian of a system is defined on the basis of the wave functions of electron in the atom nucleus field. Electrons scattering on the oscillations of the crystal lattice are taken into account. The proposed method includes long-range Coulomb interaction of electrons at different sites of the lattice. Precise expressions for Green’s functions, thermodynamic potential and conductivity tensor are derived using diagram method. Cluster expansion is obtained for density of states, free energy, and electrical conductivity of disordered systems. We show that contribution of the electron scattering processes to clusters is decreasing along with increasing number of sites in the cluster, which depends on small parameter. The computation accuracy is determined by renormalization precision of the vertex parts of the mass operators of electron-electron and electron-phonon interactions. This accuracy also can be determined by small parameter of cluster expansion for Green’s functions of electrons and phonons.
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Vovk, Ilia A., Vladimir V. Lobanov, Aleksandr P. Litvin, Mikhail Yu Leonov, Anatoly V. Fedorov, and Ivan D. Rukhlenko. "Band Structure and Intersubband Transitions of Three-Layer Semiconductor Nanoplatelets." Nanomaterials 10, no. 5 (May 12, 2020): 933. http://dx.doi.org/10.3390/nano10050933.

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This paper presents the first general theory of electronic band structure and intersubband transitions in three-layer semiconductor nanoplatelets. We find a dispersion relation and wave functions of the confined electrons and use them to analyze the band structure of core/shell nanoplatelets with equal thicknesses of the shell layers. It is shown that the energies of electrons localized inside the shell layers can be degenerate for certain electron wave vectors and certain core and shell thicknesses. We also show that the energies of intersubband transitions can be nonmonotonic functions of the core and shell thicknesses, exhibiting pronounced local minima and maxima which can be observed in the infrared absorption spectra. Our results will prove useful for the design of photonic devices based on multilayered semiconductor nanoplatelets operating at infrared frequencies.
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Herzfeld, Judith, and Solen Ekesan. "Exchange potentials for semi-classical electrons." Physical Chemistry Chemical Physics 18, no. 44 (2016): 30748–53. http://dx.doi.org/10.1039/c6cp06100a.

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Electrostatic terms in the Hamiltonian make substantial contributions to the exchange energy because the antisymmetric wave functions for electrons of like spin that occupy different floating orbitals have depleted electron density between the orbitals (black curve vs. red curve).
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Gebhard, Florian. "Gutzwiller wave functions for correlated electrons: theory and applications." Philosophical Magazine 86, no. 13-14 (May 2006): 1847–76. http://dx.doi.org/10.1080/14786430500070438.

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CRUZ, H. "RELATIVISTIC CORRECTIONS TO ELECTRON DWELL TIME IN DOUBLE BARRIER HETEROSTRUCTURES." Modern Physics Letters B 05, no. 28 (December 10, 1991): 1865–72. http://dx.doi.org/10.1142/s0217984991002240.

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In this work, we have studied relativistic corrections to electron tunneling in double barrier heterostructures through analytical solutions of a Dirac-type equation as effective-mass equation for electrons in the conduction band. It is found that relativistic wave functions for electrons give us small but significant shifts in the electron dwell time obtained through a transfer matrix method of calculation.
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TAVERNIER, M. B., E. ANISIMOVAS, and F. M. PEETERS. "ELECTRON-VORTEX INTERACTION IN A QUANTUM DOT." International Journal of Modern Physics B 18, no. 27n29 (November 30, 2004): 3633–36. http://dx.doi.org/10.1142/s0217979204027177.

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Small numbers N<5 of two-dimensional Coulomb-interacting electrons trapped in a parabolic potential placed in a perpendicular magnetic field are investigated. The reduced wave function of this system, which is obtained by fixing the positions of N-1 electrons, exhibits strong correlations between the electrons and the zeros. These zeros are often called vortices. An exact-diagonalization scheme is used to obtain the wave functions and the results are compared with results obtained from the recently proposed rotating electron molecule (REM) theory. We find that the vortices gather around the fixed electrons and repel each other, which is to a much lesser extend so for the REM results.
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Trinh, Lang Hoang, Tao Van Chau, Chien Hoang Le, Hong Thi Yen Huynh, and Tram Ngoc Huynh. "Positron annihilation rate in single atom with slater type orbital approximation." Science and Technology Development Journal 16, no. 4 (December 31, 2013): 43–51. http://dx.doi.org/10.32508/stdj.v16i4.1595.

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A theoretical approximation for the structure of many-positron and manyelectron atoms in bound states is presented. The purpose of this theory is to permit the calculation of positron lifetimes from annihilation enhancement factor which is directly estimated by pair correlation function for each element atom, but not analytical form of correlation functions which depend upon homogeneous electron gas Monte– Carlo simulation data. We therefore used a modified orbital approximation for the electrons and positron. The orbital modification consisting of explicit electronpositron and electron-electron correlation in each elec-tronic orbital was used for the electrons and positron wave functions. The kinetic energies of the electrons and positron were treated on the same footing, and the Born-Oppenheimer approximation was applied to the nuclei. In this paper we treated only those systems for the valance electrons in the real spatial coordinate of the atom or molecule. The complex of many-particle problem was solved by the Schrongdinger of one particle equation which is derived by Kohn–Sham approximation and single particle wave function of Slater type orbital. As a result of this model, the positron annihilation rate and lifetime in some atoms, Ti, Zn and Zr, were calculated.
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Ortega, J. E., A. Mugarza, V. Pérez-Dieste, V. Repain, S. Rousset, and A. Mascaraque. "Probing wave functions at step superlattices: confined versus propagating electrons." Materials Science and Engineering: B 96, no. 2 (November 2002): 154–58. http://dx.doi.org/10.1016/s0921-5107(02)00308-2.

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Dissertations / Theses on the topic "Electrons Wave functions"

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au, kaurgurd@willettonshs wa edu, and Gurdeep Kaur. "Electron-helium scattering using analytical and numerical wave functions." Murdoch University, 2002. http://wwwlib.murdoch.edu.au/adt/browse/view/adt-MU20080123.100101.

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Theoretical investigations of electron-inert gas scattering are challenging because of the complex target structure. The electron-Helium system has been the most studied both at low and intermediate energies by sophisticated R-matrix and coupled channels methods. For the other inert gases, few calculations have been attempted at the same level sophistication. One problem is that general target-structure codes provide different forms of wave functions that must be interfaced with the scattering equations. The theoretical work presented in this thesis is based on the momentum-space coupled channels equations. For this formalism only one and two-electron atoms have been studied and purpose-built routines, specific to these atoms, have been developed. For the inert gases however such a task is much more formidable and a more practical approach is to use existing structure codes that have taken several man-years to develop. The framework of this thesis comprises of two parts. In the first part we discuss the need for, and the way to, modify the existing close-coupling code developed by Berge & Stelbovics in order to interface with other atomic structure packages in the literature. Two mainstream packages, an atomic structure package of Charlotte Froese Fischer and an atomic structure of Alan Hibbert are discussed. Methods to extract the wave functions for Helium and Neon targets using Hibbert's package are given. In the second part, various options and strategies for the calculation of the target structure, including frozen-core and configuration-interaction wave functions, using analytic Slater, Laguerre or numerical orbitals are considered for the Helium target. Hibbert's structure code wave functions are shown to be correctly interfaced into our momentum-space coupled channels code. The pros and cons of the various target structure descriptions are given and applied for lowenergy elastic and inelastic scattering of electron from Helium.
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Faulkner, Helen Mary Louise. "Studies in phase and inversion problems for dynamical electron diffraction." Connect to thesis, 2003. http://repository.unimelb.edu.au/10187/2880.

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This thesis examines problems in electron diffraction and related areas of theoretical optics. It begins with a study of the phase of a quantum mechanical wave function and the behaviour of phase vortices and vortex cores. Several rules for vortex core evolution are given and simulated vortex trajectories are studied. These simulations show that in electron microscopy at atomic resolution and in other similar situations, vortices occur in the wave functions very frequently. This means any image processing methods which deal with the wave function phase must permit vortices to occur. In this context a number of methods of phase retrieval are compared and evaluated. The criteria of evaluation are the accuracy of the phase retrieval, its ability to cope with vortices, its numerical stability and its required computational resources. The best method is found to be an iterative algorithm similar in approach to the Gerchberg-Saxton method, but based on a through focal series of images.
Using this phase retrieval method as an essential tool, the thesis continues with a study of inverse problems in electron optics. The first problem considered is that of using a set of images taken to characterise the coherent aberrations present in a general imaging system. This problem occurs in many areas of optics and is studied here with a focus on transmission electron microscopy. A method of using software to simultaneously determine aberrations and subsequently remove them is presented and tested in simulation. This method is found to have a high level of accuracy in aberration determination. The second inverse problem studied in this thesis is the inversion problem in dynamical electron diffraction. This problem is solved for a periodic object, giving an accurate and unique solution for the projected potential in the multiple scattering case. An extension of this solution to objects which are non-periodic in the direction of the incident wave is investigated. Finally a model computation solving the general inversion problem for dynamical diffraction in an aberrated transmission electron microscope is performed, illustrating this and previous material and summing up the advances presented in this work.
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Lee, R. J. S. "Ion-atom collisions at relativistic and non-relativistic energies." Thesis, Queen's University Belfast, 2001. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.368591.

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Rvachev, Marat. "Study of the Quasielastic {sup 3}He(e,e{prime}p) Reaction at Q{sup 2}=1.5 (GeV/c){sup 2} up to Missing Momenta of 1 GeV/c." Washington, D.C : Oak Ridge, Tenn. : United States. Dept. of Energy. Office of Energy Research ; distributed by the Office of Scientific and Technical Information, U.S. Dept. of Energy, 2003. http://www.osti.gov/servlets/purl/824894-w3sMWi/native/.

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Thesis (Ph.D.); Submitted to Massachusetts Inst. of Tech., Cambridge, MA (US); 1 Sep 2003.
Published through the Information Bridge: DOE Scientific and Technical Information. "JLAB-PHY-03-167" "DOE/ER/40150-2745" Marat Rvachev. 09/01/2003. Report is also available in paper and microfiche from NTIS.
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Zhang, Bin. "Searching for Short Range Correlations Using (e,e'NN) Reactions." Washington, D.C : Oak Ridge, Tenn. : United States. Dept. of Energy. Office of Energy Research ; distributed by the Office of Scientific and Technical Information, U.S. Dept. of Energy, 2003. http://www.osti.gov/servlets/purl/824928-2353Al/native/.

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Thesis; Thesis information not provided; 1 Feb 2003.
Published through the Information Bridge: DOE Scientific and Technical Information. "JLAB-PHY-03-38" "DOE/ER/40150-2762" Bin Zhang. 02/01/2003. Report is also available in paper and microfiche from NTIS.
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Moon, Christopher Ryan. "Designing electron wave functions in assembled nanostructures /." May be available electronically:, 2009. http://proquest.umi.com/login?COPT=REJTPTU1MTUmSU5UPTAmVkVSPTI=&clientId=12498.

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Bawagan, Alexis Delano Ortiz. "Evaluation of wavefunctions by electron momentum spectroscopy." Thesis, University of British Columbia, 1987. http://hdl.handle.net/2429/26958.

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Electron momentum spectroscopy (EMS) provides experimental atomic and molecular electronic structure information in terms of the binding energy spectrum and the experimental momentum profile (XMP), which is a direct probe of the electron momentum distribution in specific molecular orbitals. The measured XMPs permit a detailed quantitative evaluation of theoretical ab initio wavefunctions in quantum chemistry and also provide a means to investigate traditional concepts in chemical reactivity at the fundamental electronic level. This thesis reports high momentum resolution EMS measurements of the valence orbitals of H₂0, D₂0, NH₃ and H₂CO obtained using an EMS spectrometer of the symmetric, non-coplanar type operated at an impact energy of 1200eV. The measured experimental momentum profiles for the valence orbitals of each molecule have been placed on a common intensity scale, which has allowed a stringent quantitative comparison between experiment and theory. These studies now confirm earlier preliminary investigations that suggested serious discrepancies between experimental and theoretical momentum distributions. Exhaustive consideration of possible rationalizations of these discrepancies indicate that double zeta quality and even near Hartree-Fock quality wavefunctions are insufficient in describing the outermost valence orbitals of H₂0 and NH₃. Preliminary results for H₂CO also indicate that near Hartree-Fock wavefunctions are incapable of describing the outermost 2b₂ orbital. Interactive and collaborative theoretical efforts have therefore led to the development of new Hartree-Fock limit and also highly correlated (CI) wavefunctions for H₂0, NH₃ and H₂CO. It is found that highly extended basis sets including diffuse functions and the adequate inclusion of correlation and relaxation effects are necessary in the accurate prediction of experimental momentum profiles as measured by electron momentum spectroscopy. New EMS measurements are also reported for the outermost valence orbitals of NF₃, NH₂CH₃, NH (CH₃)₂, N (CH₃)₃ and para-dichlorobenzene. These exploratory studies have illustrated useful chemical applications of EMS. In particular, EMS measurements of the outermost orbitals of the methylated amines have revealed chemical trends which are consistent with molecular orbital calculations. These calculations suggest extensive electron density derealization of the so-called nitrogen 'lone pair' in the methylated amines in comparison to the 'lone pair' in NH₃. EMS measurements of the non-degenerate π₃ and π₂ orbitals of para-dichlorobenzene show different experimental momentum profiles consistent with arguments based on inductive and resonance effects. These experimental trends, both in the case of the amines and para-dichlorobenzene, were qualitatively predicted by molecular orbital calculations using double zeta quality wavefunctions. However more accurate prediction of the experimental momentum profiles of these molecules will need more extended basis sets and the inclusion of correlation and relaxation effects as suggested by the studies based on the smaller molecules. An integrated computer package (HEMS) for momentum space calculations has also been developed based on improvements to existing programs. Development studies testing a new prototype multichannel (in the ɸ plane) EMS spectrometer are described.
Science, Faculty of
Chemistry, Department of
Graduate
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8

Kaur, Gurdeep. "Electron-helium scattering using analytical and numerical wave functions." Kaur, Gurdeep (2002) Electron-helium scattering using analytical and numerical wave functions. PhD thesis, Murdoch University, 2002. http://researchrepository.murdoch.edu.au/472/.

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Theoretical investigations of electron-inert gas scattering are challenging because of the complex target structure. The electron-Helium system has been the most studied both at low and intermediate energies by sophisticated R-matrix and coupled channels methods. For the other inert gases, few calculations have been attempted at the same level sophistication. One problem is that general target-structure codes provide different forms of wave functions that must be interfaced with the scattering equations. The theoretical work presented in this thesis is based on the momentum-space coupled channels equations. For this formalism only one and two-electron atoms have been studied and purpose-built routines, specific to these atoms, have been developed. For the inert gases however such a task is much more formidable and a more practical approach is to use existing structure codes that have taken several man-years to develop. The framework of this thesis comprises of two parts. In the first part we discuss the need for, and the way to, modify the existing close-coupling code developed by Berge & Stelbovics in order to interface with other atomic structure packages in the literature. Two mainstream packages, an atomic structure package of Charlotte Froese Fischer and an atomic structure of Alan Hibbert are discussed. Methods to extract the wave functions for Helium and Neon targets using Hibbert's package are given. In the second part, various options and strategies for the calculation of the target structure, including frozen-core and configuration-interaction wave functions, using analytic Slater, Laguerre or numerical orbitals are considered for the Helium target. Hibbert's structure code wave functions are shown to be correctly interfaced into our momentum-space coupled channels code. The pros and cons of the various target structure descriptions are given and applied for lowenergy elastic and inelastic scattering of electron from Helium.
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Franck, Odile. "A closer look at wave-function/density-functional hybrid methods." Thesis, Paris 6, 2016. http://www.theses.fr/2016PA066303/document.

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La théorie de la fonctionnelle de la densité (DFT) est une reformulation du problème quantique à N corps où l'énergie de l'état fondamental est exprimée sous la forme d'une fonction de la densité électronique. Dans l'approche de Kohn-Sham de la DFT, seule l'énergie dite d'échange-corrélation décrivant la partie non classique de l'interaction électron-électron nécessite d'être approchée comme une fonctionnelle de la densité. Dans le cadre de la thèse nous nous intéressons à une approximation visant à améliorer la précision et qui consiste à combiner de façon rigoureuse une approximation de type " fonctionnelle de la densité " avec un calcul explicite de type " fonction d'onde " à l'aide d'une décomposition de l'interaction électron-électron coulombienne. L'objectif est de disposer de méthodes améliorant la précision de la DFT actuelle avec un effort de calcul restant compétitif. Ce travail de thèse se décompose en trois études distinctes. Une première étude a consisté a étendre l'analyse de la convergence en base à la séparation de portée qui a permit de mettre en évidence une convergence exponentielle pour l'énergie de corrélation MP2 de longue portée. Dans un second temps nous nous sommes intéressés à une approximation auto-cohérente des fonctionnelles double-hybride utilisant la méthode des potentiels-effectifs-optimisés. Finalement la troisième étude propose une analyse de l'approximation adiabatique semi-locale du noyau d'échange et de corrélation de courte portée dans le cadre de la TDDFT avec séparation de portée dans son formalisme de réponse linéaire
The theory of the functional of the density ( DFT) is a reformulation of the quantum problem in N body where the energy of the fundamental state is expressed under the shape of a function(office) of the electronic density. In the approach of Kohn-Sham of the DFT, only the said energy of exchange-correlation describing the not classic part(party) of the interaction electron-electron requires to be approached as a functional of the density. Within the framework of the thesis(theory) we are interested in an approximation to improve the precision and which consists in combining(organizing) in a rigorous way an approximation of type(chap) " functional of the density " with an explicit calculation of type(chap) " function(office) of wave " by means of a decomposition of the interaction electron-electron coulombienne. The objective is to have methods
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Mahler, Andrew. "The One Electron Basis Set: Challenges in Wavefunction and Electron Density Calculations." Thesis, University of North Texas, 2016. https://digital.library.unt.edu/ark:/67531/metadc849642/.

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In the exploration of chemical systems through quantum mechanics, accurate treatment of the electron wavefunction, and the related electron density, is fundamental to extracting information concerning properties of a system. This work examines challenges in achieving accurate chemical information through manipulation of the one-electron basis set.
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Books on the topic "Electrons Wave functions"

1

Auerbach, Assa. Interacting electrons and quantum magnetism. New York: Springer-Verlag, 1994.

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Yserentant, Harry. Regularity and Approximability of Electronic Wave Functions. Berlin, Heidelberg: Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-12248-4.

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Regularity and approximability of electronic wave functions. Heidelberg: Springer, 2010.

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Volker, Schmidt. Electron spectrometry of atoms using synchrotron radiation. Cambridge: Cambridge University Press, 1997.

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He, Sailing. Time domain wave-splittings and inverse problems. Oxford: Oxford University Press, 1998.

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Rudolf, Rabenstein, ed. Digital sound synthesis by physical modeling using the functional transformation method. New York: Kluwer Academic/Plenum Publishers, 2003.

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Auerbach, Assa. Interacting Electrons and Quantum Magnetism. Springer, 2012.

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Levin, Frank S. The Hydrogen Atom and Its Colorful Photons. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198808275.003.0010.

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The energies, kets and wave functions obtained from the Schrödinger equation for the hydrogen atom are examined in Chapter 9. Three quantum numbers are identified. The energies turn out to be the same as in the Bohr model, and an energy-level diagram appropriate to the quantum description is constructed. Graphs of the probability distributions are interpreted as the electron being in a “cloud” around the proton, rather than at a fixed position: the atom is fuzzy, not sharp-edged. The wavelengths of the five photons of the Balmer series are shown to be in the visible range. These photons are emitted when electrons transition from higher-excited states to the second lowest one, which means that electronic-type transitions underlie the presence of colors in our visible environment. The non-collapse of the atom, required by classical physics, is shown to arise from the structure of Schrödinger’s equation.
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Solymar, L., D. Walsh, and R. R. A. Syms. The electron. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198829942.003.0003.

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Discusses with some rigour the properties of electrons, based on the Schrodinger equation. Introduces the concepts of wave function, quantum-mechanical operators, and wave packets. Examples cover the electron meeting an infinitely long potential barrier and the passage of electrons through a finite barrier (which leads to the phenomenon of tunnelling).The electron in a potential well is also discussed, solving the problem both for a finite and for an infinite well, and finding the permissible energy levels. The chapter is concluded with the philosophical implications that arise from the quantum-mechanical approach. Two limericks relevant to the subject are quoted.
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Solymar, L., D. Walsh, and R. R. A. Syms. The band theory of solids. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198829942.003.0007.

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The solution of Schrodinger’s equation is discussed for a model in which atoms are represented by potential wells, from which the band structure follows. Three further models are discussed, the Ziman model (which is based on the effect of Bragg reflection upon the wave functions), and the Feynman model (based on coupled equations), and the tight binding model (based on a more realistic solution of the Schrödinger equation). The concept of effective mass is introduced, followed by the effective number of electrons. The difference between metals and insulators based on their band structure is discussed. The concept of holes is introduced. The band structure of divalent metals is explained. For finite temperatures the Fermi–Dirac function is combined with band theory whence the distinction between insulators and semiconductors is derived.
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Book chapters on the topic "Electrons Wave functions"

1

Vollhardt, Dieter. "Variational Wave Functions for Correlated Lattice Fermions." In Interacting Electrons in Reduced Dimensions, 107–21. Boston, MA: Springer US, 1989. http://dx.doi.org/10.1007/978-1-4613-0565-1_13.

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Hofstadter, Douglas R. "Energy levels and wave functions of Bloch electrons in rational and irrational magnetic fields." In Quantum Hall Effect: A Perspective, 183–93. Dordrecht: Springer Netherlands, 1989. http://dx.doi.org/10.1007/978-94-010-9709-3_19.

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Faddeev, L., and O. Yakubovskiĭ. "Symmetry of the coordinate wave functions of a system of two electrons. The helium atom." In The Student Mathematical Library, 215–16. Providence, Rhode Island: American Mathematical Society, 2009. http://dx.doi.org/10.1090/stml/047/49.

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Lindgren, Ingvar, and John Morrison. "Many-Electron Wave Functions." In Atomic Many-Body Theory, 163–82. Berlin, Heidelberg: Springer Berlin Heidelberg, 1986. http://dx.doi.org/10.1007/978-3-642-61640-2_8.

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Ceperley, D. M. "Understanding Electronic Wave Functions." In Electron Correlations and Materials Properties, 429–38. Boston, MA: Springer US, 1999. http://dx.doi.org/10.1007/978-1-4615-4715-0_25.

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Nalewajski, Roman F. "Wave Function Methods." In Perspectives in Electronic Structure Theory, 149–254. Berlin, Heidelberg: Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-20180-6_6.

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Helgaker, Trygve, Poul Jørgensen, and Jeppe Olsen. "Exact and Approximate Wave Functions." In Molecular Electronic-Structure Theory, 107–41. Chichester, UK: John Wiley & Sons, Ltd, 2014. http://dx.doi.org/10.1002/9781119019572.ch4.

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Davidson, Ernest R. "Configuration Interaction Wave Functions." In Relativistic and Electron Correlation Effects in Molecules and Solids, 105–31. Boston, MA: Springer US, 1994. http://dx.doi.org/10.1007/978-1-4899-1340-1_5.

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Kutzelnigg, Werner. "Theory of Electron Correlation." In Explicitly Correlated Wave Functions in Chemistry and Physics, 3–90. Dordrecht: Springer Netherlands, 2003. http://dx.doi.org/10.1007/978-94-017-0313-0_1.

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Romanowski, Stanisław, and Leszek Wojtczak. "Spin Waves Resonance in Magnetic Electrodes." In Green Functions in Electrochemistry, 268–84. Dordrecht: Springer Netherlands, 1997. http://dx.doi.org/10.1007/978-94-011-5504-5_8.

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Conference papers on the topic "Electrons Wave functions"

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Kuo, M. K., T. R. Lin, and K. B. Hong. "Size and Piezoelectric Effects on Optical Properties of Self-Assembled InGaAs/GaAs Quantum Dots." In ASME 2006 International Mechanical Engineering Congress and Exposition. ASMEDC, 2006. http://dx.doi.org/10.1115/imece2006-15776.

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Size effects on optical properties of self-assembled quantum dots are analyzed based on the theories of linear elasticity and of strain-dependent k-p with the aid of finite element analysis. The quantum dot is made of InGaAs with truncated pyramidal shape on GaAs substrate. The three-dimensional steady-state effective-mass Schro¨dinger equation is adopted to find confined energy levels as well as wave functions both for electrons and holes of the quantum-dot nanostructures. Strain-induced as well as piezoelectric effects are taken into account in the carrier confinement potential of Schro¨dinger equation. The optical transition energies of quantum dots, computed from confined energy levels for electrons and holes, are significantly different for several quantum dots with distinct sizes. It is found that for QDs with the the larger the volume of QD is, the smaller the values of the optical transition energy. Piezoelectric effect, on the other hand, splits the p-like degeneracy for the electron first excited state about 1~7 meV, and leads to anisotropy on the wave function.
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Tang, Shiang-Feng, Xin Nong Yang, Xin-Yuan Tu, Tzu-Chiang Chen, Sun-Tai Ping, and Cheng-Der Chiang. "Simulations for Vertically Coupled Wave-Functions of Electrons on the Multiple Lens-Shaped InAs/In(Ga)As Quantum Dot Layers with Dependences of GaAs Spacing Layer." In 2008 8th IEEE Conference on Nanotechnology (NANO). IEEE, 2008. http://dx.doi.org/10.1109/nano.2008.129.

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Sako, Tokuei, Hiroshi Ishida, and Kazuo Fujikawa. "Electronic structure and correlated wave functions of a few electron quantum dots." In PROCEEDINGS OF THE INTERNATIONAL CONFERENCE OF COMPUTATIONAL METHODS IN SCIENCES AND ENGINEERING 2010 (ICCMSE-2010). AIP Publishing LLC, 2015. http://dx.doi.org/10.1063/1.4906647.

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Liang, Zhi, and Hai-Lung Tsai. "Ab Initio Calculations of Vibrational Energy Levels and Transition Dipole Moments of CO2 Molecules." In ASME 2008 International Mechanical Engineering Congress and Exposition. ASMEDC, 2008. http://dx.doi.org/10.1115/imece2008-67765.

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Ab initio MD simulation of laser-matter interactions is a hot area in the study of the mechanisms of photo-dissociation, photo-ionization and laser induced chemical reactions. The major problems in the study of laser-molecule interactions are to determine the energies and wave functions of molecular vibration states and the molecular transition dipole moments. An efficient method is presented to calculate the intramolecular potential energies and electrical dipole moments of CO2 molecules at the electronic ground state by solving the Kohn-Sham (KS) equation for a total of 101,992 nuclear configurations. The Projector-Augmented Wave (PAW) exchange-correlation potential functionals and Plane Wave (PW) basis functions were used in solving the KS equation. The calculated intra-molecular potential function was then included in the pure vibrational Schro¨dinger equation to determine the vibrational energy eigen values and eigen functions. The vibrational wave functions combined with the calculated dipole moment function were used to determine the transition dipole moments. The calculated results have a good agreement with experimental values. These results can be further used to determinations of molecular spectroscopy and laser absorption coefficients.
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Hatano, Mutsuko, Kazuo Saito, Toshikazu Nishino, and Kazumasa Takagi. "Experiments on Functional Superconducting Electron-Wave Device." In 1992 International Conference on Solid State Devices and Materials. The Japan Society of Applied Physics, 1992. http://dx.doi.org/10.7567/ssdm.1992.ld-11.

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Tsujino, Soichiro. "On the transverse wave function and coherence of field emission electrons." In 2017 30th International Vacuum Nanoelectronics Conference (IVNC). IEEE, 2017. http://dx.doi.org/10.1109/ivnc.2017.8051555.

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Macek, J. H. "Wave functions for double electron escape and Wannier-type threshold laws." In The fourteenth international conference on the application of accelerators in research and industry. AIP, 1997. http://dx.doi.org/10.1063/1.52393.

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Stein, Eckart. "Hadronic wave functions and exclusive processes." In PHYSICS WITH AN ELECTRON POLARIZED LIGHT-ION COLLIDER: Second Workshop EPIC 2000. AIP, 2001. http://dx.doi.org/10.1063/1.1413163.

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Dandrea, Lucia, and Francesco Pederiva. "A Shadow Wave Function For The Two-Dimensional Electron Gas." In LOW TEMPERATURE PHYSICS: 24th International Conference on Low Temperature Physics - LT24. AIP, 2006. http://dx.doi.org/10.1063/1.2355211.

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Tsukiji, Tetsuhiro, and Tsuyoshi Mitani. "Influence of Electric Fields on Flow of Liquid Crystal Mixture in a Circular Tube With Electrode Surface." In ASME/JSME 2003 4th Joint Fluids Summer Engineering Conference. ASMEDC, 2003. http://dx.doi.org/10.1115/fedsm2003-45047.

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Liquid crystal is one of functional fluids to control an apparent viscosity using an electric field intensity. It is also called ER (Electro-rheological) fluids. In the present experiment a liquid crystal mixture made of some kinds of the nematic liquid crystal is used. The responses of the pressure drop are examined when the liquid crystal mixture flows in a circular tube with the electrode walls on some parts of the inner surface of the tube for the constant flow rates. The four pair of the electrode is used and the voltages are added in the peripheral direction. When the voltages are applied on the liquid crystal mixture and removed, the pressure responses of the inlet of the circular tube are measured with the pressure transducer. On the other hand, the pulse-wave voltages are added to the electrodes to control the pressure drop using the pulse width modulation or the pulse frequency modulation. The diameter of the circular tube is 1.0mm. The isotropic-nematic transition is 90.0°C and smectic-nematic transition is −44.0°C for the liquid crystal mixture. The open-loop test facility with the liquid crystal mixture is set in a pyrostat to keep the temperature constant.
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