Relevant bibliographies by topics / Hartree-Fock approximation

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Academic literature on the topic 'Hartree-Fock approximation'

Author: Grafiati
Published: 4 June 2021
Last updated: 29 July 2024

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Journal articles on the topic "Hartree-Fock approximation"

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LI, BAO-CHUN, and LI-LI WANG. "ENTROPY IN SCALAR O(N) MODEL WITH A SPONTANEOUSLY BROKEN SYMMETRY." International Journal of Modern Physics A 24, no. 30 (December 10, 2009): 5725–36. http://dx.doi.org/10.1142/s0217751x09047363.

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We investigate the entropy in a scalar O(N) model with a spontaneously broken symmetry. The Cornwall–Jackiw–Tomboulis formalism is applied to derive the entropy in the Hartree and Hartree–Fock approximations. In contrast to the Hartree approximation where the particles are quasiparticles with vanishing decay width, the Hartree–Fock approximation contains exchange contributions, which lead to nonzero decay width. We find that the sunset diagrams contribution is very small. Furthermore, the decay widths from these diagrams are discussed in the weak and strong coupling cases.
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Huber, H., F. Weber, M. K. Weigel, and Ch Schaab. "Neutron Star Properties with Relativistic Equations of State." International Journal of Modern Physics E 07, no. 03 (June 1998): 301–39. http://dx.doi.org/10.1142/s0218301398000130.

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We study the properties of neutron stars adopting relativistic equations of state of neutron star matter, calculated in the framework of the relativistic Brueckner–Hartree–Fock approximation for electrically charge neutral neutron star matter in beta–equilibrium. For higher densities more baryons (hyperons etc.) are included by means of the relativistic Hartree– or Hartree–Fock approximation. The special features of the different approximations and compositions are discussed in detail. Besides standard neutron star properties special emphasis is put on the limiting periods of neutron stars, for which the Kepler criterion and gravitation–reaction instabilities are considered. Furthermore the cooling behaviour of neutron stars is investigated, too. For comparison we also give the outcome for some nonrelativistic equations of state.
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Gómez, J. M. G., and C. Prieto. "The Hartree-Fock seniority approximation." Nuclear Physics A 452, no. 3 (April 1986): 462–76. http://dx.doi.org/10.1016/0375-9474(86)90209-5.

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Huber, H., M. K. Weigel, and F. Weber. "Compatibility of Neutron Star Masses and Hyperon Coupling Constants." Zeitschrift für Naturforschung A 54, no. 1 (January 1, 1999): 77–82. http://dx.doi.org/10.1515/zna-1999-0110.

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Abstract It is shown that the modern equations of state for neutron star matter based on microscopic calculations of symmetric and asymmetric nuclear matter are compatible with the lower bound on the maximum neutron-star mass for a certain range of hyperon coupling constants, which are constrained by the binding energies of hyperons in symmetric nuclear matter. The hyperons are included by means of the relativistic Hartree-or Hartree-Fock approximation. The obtained couplings are also in satisfactory agreement with hypernuclei data in the relativistic Hartree scheme. Within the relativistic Hartree-Fock approximation, hypernuclei have not been investigated so far.
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SITKO, PIOTR. "STATISTICS TRANSMUTATIONS IN TWO-DIMENSIONAL SYSTEMS AND THE FRACTIONAL QUANTUM HALL EFFECT." Modern Physics Letters B 08, no. 06 (March 10, 1994): 375–80. http://dx.doi.org/10.1142/s021798499400039x.

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Statistics transmutations to superfermions in fractional quantum Hall effect systems are considered in the Hartree-Fock approximation and in the RPA. The Hartree-Fock ground state energy shows that the transmutations are not energetically preferable. Within the RPA it is found that the system exhibits a fractional quantum Hall effect.
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Zhang, Yi-Cheng. "Directed polymers in Hartree-Fock approximation." Journal of Statistical Physics 57, no. 5-6 (December 1989): 1123–28. http://dx.doi.org/10.1007/bf01020051.

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PEREZ MARTINEZ, A., and A. CABO. "HARTREE-FOCK APPROXIMATION FOR COULOMB INTERACTING ANYON GAS IN A MAGNETIC FIELD." Modern Physics Letters B 05, no. 24n25 (October 1991): 1703–12. http://dx.doi.org/10.1142/s0217984991002057.

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Dyson equations for a Coulomb interacting anyon gas in a magnetic field are obtained and solved in the Hartree-Fock approximation. The states recently proposed by Greiter and Wilczek naturally arise from the Hartree-Fock solution. The electron self energies are calculated in the case when only the lowest Landau level is occupied.
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SITKO, PIOTR, and LUCJAN JACAK. "HARTREE–FOCK GROUND STATE OF THE COMPOSITE FERMION METAL." Modern Physics Letters B 09, no. 14 (June 20, 1995): 889–94. http://dx.doi.org/10.1142/s0217984995000851.

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Within the Hartree–Fock approximation the ground state of the composite fermion metal is found. We observe that the single-particle energy spectrum is dominated by the logarithmic interaction exchange term which leads to an infinite jump of the single-particle exchange at the Fermi momentum. It is shown that the Hartree–Fock result brings no corrections to the RPA Fermi velocity.
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BARAN, A., A. STASZCZAK, J. DOBACZEWSKI, and W. NAZAREWICZ. "COLLECTIVE INERTIA AND FISSION BARRIERS WITHIN THE SKYRME-HARTREE-FOCK THEORY." International Journal of Modern Physics E 16, no. 02 (February 2007): 443–51. http://dx.doi.org/10.1142/s0218301307005879.

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Spontaneous fission barriers, quadrupole inertia tensor, and zero-point quadrupole correlation energy are calculated for 252,256,258 Fm in the framework of the self-consistent Skyrme-Hartree-Fock+BCS theory. Two ways of computing collective inertia are employed: the Gaussian Overlap Approximation to the Generator Coordinate Method and cranking ansatz. The Skyrme results are compared with those of the Gogny-Hartree-Fock-Bogolyubov model.
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Arora, Gunjan, and B. L. Ahuja. "Compton Scattering and Electronic Properties of Tungsten Ditelluride." Solid State Phenomena 209 (November 2013): 107–10. http://dx.doi.org/10.4028/www.scientific.net/ssp.209.107.

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We report the first ever isotropic experimental Compton profile of tungsten ditelluride using 20 Ci 137Cs Compton spectrometer. To compare our experimental data, we have also computed the Compton profiles, energy bands, density of states and band gap using Hartree-Fock and density functional theory within linear combination of atomic orbitals. The measured data is found to be in better accordance with the generalised gradient approximation of density functional theory than Hartree-Fock and local density approximation. We have discussed the nature of bonding in WTe2 using energy bands and density of states.
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Dissertations / Theses on the topic "Hartree-Fock approximation"

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Benedikt, Udo. "Low-Rank Tensor Approximation in post Hartree-Fock Methods." Doctoral thesis, Universitätsbibliothek Chemnitz, 2014. http://nbn-resolving.de/urn:nbn:de:bsz:ch1-qucosa-133194.

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In this thesis the application of novel tensor decomposition and tensor representation techniques in highly accurate post Hartree-Fock methods is evaluated. These representation techniques can help to overcome the steep scaling behaviour of high level ab-initio calculations with increasing system size and therefore break the "curse of dimensionality". After a comparison of various tensor formats the application of the "canonical polyadic" format (CP) is described in detail. There, especially the casting of a normal, index based tensor into the CP format (tensor decomposition) and a method for a low rank approximation (rank reduction) of the two-electron integrals in the AO basis are investigated. The decisive quantity for the applicability of the CP format is the scaling of the rank with increasing system and basis set size. The memory requirements and the computational effort for tensor manipulations in the CP format are only linear in the number of dimensions but still depend on the expansion length (rank) of the approximation. Furthermore, the AO-MO transformation and a MP2 algorithm with decomposed tensors in the CP format is evaluated and the scaling with increasing system and basis set size is investigated. Finally, a Coupled-Cluster algorithm based only on low-rank CP representation of the MO integrals is developed. There, especially the successive tensor contraction during the iterative solution of the amplitude equations and the error propagation upon multiple application of the reduction procedure are discussed. In conclusion the overall complexity of a Coupled-Cluster procedure with tensors in CP format is evaluated and some possibilities for improvements of the rank reduction procedure tailored to the needs in electronic structure calculations are shown
Die vorliegende Arbeit beschäftigt sich mit der Anwendung neuartiger Tensorzerlegungs- und Tensorrepesentationstechniken in hochgenauen post Hartree-Fock Methoden um das hohe Skalierungsverhalten dieser Verfahren mit steigender Systemgröße zu verringern und somit den "Fluch der Dimensionen" zu brechen. Nach einer vergleichenden Betrachtung verschiedener Representationsformate wird auf die Anwendung des "canonical polyadic" Formates (CP) detailliert eingegangen. Dabei stehen zunächst die Umwandlung eines normalen, indexbasierten Tensors in das CP Format (Tensorzerlegung) und eine Methode der Niedrigrang Approximation (Rangreduktion) für Zweielektronenintegrale in der AO Basis im Vordergrund. Die entscheidende Größe für die Anwendbarkeit ist dabei das Skalierungsverhalten das Ranges mit steigender System- und Basissatzgröße, da der Speicheraufwand und die Berechnungskosten für Tensormanipulationen im CP Format zwar nur noch linear von der Anzahl der Dimensionen des Tensors abhängen, allerdings auch mit der Expansionslänge (Rang) skalieren. Im Anschluss wird die AO-MO Transformation und der MP2 Algorithmus mit zerlegten Tensoren im CP Format diskutiert und erneut das Skalierungsverhalten mit steigender System- und Basissatzgröße untersucht. Abschließend wird ein Coupled-Cluster Algorithmus vorgestellt, welcher ausschließlich mit Tensoren in einer Niedrigrang CP Darstellung arbeitet. Dabei wird vor allem auf die sukzessive Tensorkontraktion während der iterativen Bestimmung der Amplituden eingegangen und die Fehlerfortpanzung durch Anwendung des Rangreduktions-Algorithmus analysiert. Abschließend wird die Komplexität des gesamten Verfahrens bewertet und Verbesserungsmöglichkeiten der Reduktionsprozedur aufgezeigt
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Sallé, Mischa. "Real time quantum field theory on a computer: the Hartree ensemble approximation." [S.l. : Amsterdam : s.n.] ; Universiteit van Amsterdam [Host], 2002. http://dare.uva.nl/document/65210.

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Baguet, Lucas. "États périodiques du jellium à deux et trois dimensions : approximation de Hartree-Fock." Thesis, Paris 6, 2014. http://www.theses.fr/2014PA066389/document.

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Le modèle du jellium est l'un des modèles fondamentaux de la matière condensée.Il est constitué d'un ensemble d'électrons et d'un fond uniforme qui assure la neutralité globale.À température nulle et sans champ extérieur, la densité électronique est le seul paramètre du système.Malgré la simplicité de ce modèle, l'état fondamental du jellium en fonction de la densité reste un problème ouvert.Nous avons étudié le modèle du jellium à 2 et 3 dimensions dans l'approximation de Hartree-Fock par une méthode numérique de descente.En utilisant des états périodiques, le nombre d’inconnues est grandement réduit et le nombre d’électrons peut atteindre le million.À type de réseau et polarisation fixés, nous montrons que le système forme un cristal de Wigner à basse densité puis, au dessus d'une densité de transition, occupe des états «métalliques» caractérisés par une structure cristalline avec une maille plus petite que celle du cristal de Wigner.Les états métalliques interpolent entre le cristal de Wigner et le gaz de Fermi, ce dernier n'étant retrouvé qu'à densité infinie.Ce comportement se retrouve à deux et trois dimensions, pour un gaz polarisé et non polarisé, et pour les différents type de réseaux considérés dans nos travaux.Le diagramme de phase à deux ou trois dimensions est alors très riche et comprend à basse densité diverses phases «cristal de Wigner» avec des symétries et polarisations différentes.À haute densité, les états métalliques non-polarisées déstabilisent le cristal de Wigner et le gaz de Fermi. Ces états métalliques s’interprètent comme une superposition d’ondes de densité de spin, prédite par Overhauser en 1962
The jellium model is a fundamental model in condensed matter. It is formed by a set of electrons and a uniform background insuring global neutrality. At zero temperature and without external field, the ground-state depends only on the electronic density. Despite its simplicity, the jellium ground-state is still an open problem. We studied the jellium model in 2 and 3 dimensions within the Hartree-Fock approximation using a numerical descent method. Assuming periodic states, we greatly reduce the number of unknowns and the system may contain up to one million of electrons. At fixed lattice symmetry and polarization, the ground-state is a Wigner crystal at low density, and a «metallic state» above a critical density value. These metallic states are crystals with a lattice constant smaller than in Wigner phase, and interpolate between the latter and the Fermi gas. The metallic states exists in two and three dimensions, for a polarized and unpolarized gas, and for various lattice symmetries. Therefore, the jellium phase diagram at zero temperature is rich : it contains several Wigner crystal phases at low density, polarized and unpolarized, and an unpolarized metallic state at high density. These states are well described by a superposition of spin-density waves, as predicted by Overhauser in 1962
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Yu, Yongle. "Renormalization of Hartree-Fock-Bogoliubov equations in case of zero range interaction /." Thesis, Connect to this title online; UW restricted, 2003. http://hdl.handle.net/1773/9641.

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Sert, Yusuf Ucun Fatih. "Hatree-Fock (HF) ve Yoğunluk Fonksiyon Teori (DFT) metotlarıyla 2-, 3- ve 4- Triflorometilbenzaldehit moleküllerinin titreşimsel analizleri ve moleküler yapıları /." Isparta : SDÜ Fen Bilimleri Enstitüsü, 2008. http://tez.sdu.edu.tr/Tezler/TF01170.pdf.

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Abuzaid, N. (Nuha). "Electronic structure according to the orbital approximation and the Hartree-Fock theory with electron correlation methods." Bachelor's thesis, University of Oulu, 2016. http://urn.fi/URN:NBN:fi:oulu-201611113017.

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Hartree-Fock theory, a computational method to solve electronic structure of molecules, is reviewed in this thesis. The emphasis is on spotlighting the physical reasoning behind the assumptions of the Hartree-Fock theory. Also, three post-Hartree-Fock electron correlation methods are introduced, configuration interaction, coupled cluster, and Møller-Plesset theory.
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March, William B. "Multi-tree algorithms for computational statistics and phyiscs." Diss., Georgia Institute of Technology, 2013. http://hdl.handle.net/1853/49116.

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The Fast Multipole Method of Greengard and Rokhlin does the seemingly impossible: it approximates the quadratic scaling N-body problem in linear time. The key is to avoid explicitly computing the interactions between all pairs of N points. Instead, by organizing the data in a space-partitioning tree, distant interactions are quickly and efficiently approximated. Similarly, dual-tree algorithms, which approximate or eliminate parts of a computation using distance bounds, are the fastest algorithms for several fundamental problems in statistics and machine learning -- including all nearest neighbors, kernel density estimation, and Euclidean minimum spanning tree construction. We show that this overarching principle -- that by organizing points spatially, we can solve a seemingly quadratic problem in linear time -- can be generalized to problems involving interactions between sets of three or more points and can provide orders-of-magnitude speedups and guarantee runtimes that are asymptotically better than existing algorithms. We describe a family of algorithms, multi-tree algorithms, which can be viewed as generalizations of dual-tree algorithms. We support this thesis by developing and implementing multi-tree algorithms for two fundamental scientific applications: n-point correlation function estimation and Hartree-Fock theory. First, we demonstrate multi-tree algorithms for n-point correlation function estimation. The n-point correlation functions are a family of fundamental spatial statistics and are widely used for understanding large-scale astronomical surveys, characterizing the properties of new materials at the microscopic level, and for segmenting and processing images. We present three new algorithms which will reduce the dependence of the computation on the size of the data, increase the resolution in the result without additional time, and allow probabilistic estimates independent of the problem size through sampling. We provide both empirical evidence to support our claim of massive speedups and a theoretical analysis showing linear scaling in the fundamental computational task. We demonstrate the impact of a carefully optimized base case on this computation and describe our distributed, scalable, open-source implementation of our algorithms. Second, we explore multi-tree algorithms as a framework for understanding the bottleneck computation in Hartree-Fock theory, a fundamental model in computational chemistry. We analyze existing fast algorithms for this problem, and show how they fit in our multi-tree framework. We also show new multi-tree methods, demonstrate that they are competitive with existing methods, and provide the first rigorous guarantees for the runtimes of all of these methods. Our algorithms will appear as part of the PSI4 computational chemistry library.
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Benedikt, Udo [Verfasser], Alexander A. [Akademischer Betreuer] Auer, and Sibylle [Gutachter] Gemming. "Low-Rank Tensor Approximation in post Hartree-Fock Methods / Udo Benedikt ; Gutachter: Sibylle Gemming ; Betreuer: Alexander A. Auer." Chemnitz : Universitätsbibliothek Chemnitz, 2014. http://d-nb.info/1230577440/34.

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Thulasi, Sunita. "Theory of the two-dimensional airy electron gas Hartee-Fock and density-functional studies /." Diss., Columbia, Mo. : University of Missouri-Columbia, 2006. http://hdl.handle.net/10355/4111.

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Thesis (Ph. D.)--University of Missouri-Columbia, 2006.
The entire dissertation/thesis text is included in the research.pdf file; the official abstract appears in the short.pdf file (which also appears in the research.pdf); a non-technical general description, or public abstract, appears in the public.pdf file. Title from title screen of research.pdf file viewed on (May 17, 2007) Vita. n following parenthesis in formula (LaTiO₃) should be subscript. Includes bibliographical references.
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Schaudt, Kimberly Jean. "Light scattering in dielectric disk arrays and atomic scattering by helium." Diss., The University of Arizona, 1992. http://hdl.handle.net/10150/185932.

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The exact scalar wave solution for light scattering from a general dielectric disk array is found. The exact solution as well as a numerical solution is also given for an array of three dielectric disks, whose centers are placed on the vertices of an equilateral triangle. The various (differential, total and averaged total) cross sections and the poles of the scattering matrix are given. These results are analyzed in part by considering the effects which arise from the geometry of the system, and in part by comparison with the results (cross sections and poles) for a system with an identical arrangement of three hard (perfectly conducting) disks and with a system of one dielectric disk. This analysis helps rule out structure that arise from the chaos, which is very likely to exist, in the classical (geometric) limit of the three (or more) dielectric disk system. In the future after I study the geometric (classical) and physics (semiclassical) regimes of this system, I plan to reanalyse the exact wave solution in an attempt to discover the traces of the chaos present in the system. Time dependent Hartree-Fock theory (TDHF), with improved formulation and improved computer capabilities, is used to repeat the calculations of charge capture for the He²⁺ on He collision. The results of these calculations allow us to discuss the effects of various numerical truncations and to establish with certainty the viability and the accuracy of TDHF in its application to ion-atom collisions. Initially, we had hoped to find chaos in the TDHF problem, as it is nonlinear. However, due to the complexity and computational difficulties present in the TDHF problem, a simpler scattering system of light scattering from dielectric disk arrays was chosen for study.
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Books on the topic "Hartree-Fock approximation"

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Dyall, Kenneth G. All-electron molecular Dirac-Hartree-Fock calculations: Properties of the Group IV monoxides GeO, SnO and Pbo. [Washington, D.C: National Aeronautics and Space Administration, 1991.

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Dyall, Kenneth G. All-electron molecular Dirac-Hartree-Fock calculations: Properties of the Group IV monoxides GeO, SnO and Pbo. [Washington, D.C: National Aeronautics and Space Administration, 1991.

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Dyall, Kenneth G. Polyatomic molecular Dirac-Hartree-Fock calculations with Gaussian basis sets. [Moffett Field, CA: NASA Ames Research Center, 1990.

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Mestechkin, M. M. Nestabilʹnostʹ uravneniĭ Khartri-Foka i ustoĭchivostʹ molekul. Kiev: Nauk. dumka, 1986.

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Ramón, Carbó, and Klobukowski M, eds. Self-consistent field: Theory and applications. Amsterdam: Elsevier New York, NY, U.S.A., 1990.

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Tomas, Brage, and Jönsson Per, eds. Computational atomic structure: An MCHF approach. Bristol, UK: Institute of Physics Publ., 1997.

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H, Adachi, Mukoyama T, and Kawai J, eds. Hartree-Fock-Slater method for materials science: The DV-Xa method for design and characterization of materials. Berlin: Springer, 2006.

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Gross, E. K. U. Many-particle theory. Bristol: A. Hilger, 1991.

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(Editor), H. Adachi, T. Mukoyama (Editor), and J. Kawai (Editor), eds. Hartree-Fock-Slater Method for Materials Science: The DV-X Alpha Method for Design and Characterization of Materials (Springer Series in Materials Science). Springer, 2005.

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All-electron molecular Dirac-Hartree-Fock calculations: Properties of the Group IV monoxides GeO, SnO and Pbo. [Washington, D.C: National Aeronautics and Space Administration, 1991.

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Book chapters on the topic "Hartree-Fock approximation"

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Fabrizio, Michele. "Hartree-Fock Approximation." In Graduate Texts in Physics, 81–120. Cham: Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-16305-0_3.

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Bechstedt, Friedhelm. "Hartree-Fock Approximation." In Springer Series in Solid-State Sciences, 49–70. Berlin, Heidelberg: Springer Berlin Heidelberg, 2014. http://dx.doi.org/10.1007/978-3-662-44593-8_4.

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Krüger, Peter. "Electronic Structure Theory for X-Ray Absorption and Photoemission Spectroscopy." In Springer Proceedings in Physics, 63–81. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-64623-3_3.

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AbstractThe principles of X-ray absorption and photoemission spectroscopy calculations are introduced and the basics of electronic structure theory, including the Hartree–Fock approximation, density functional theory, its time-dependent version and quasiparticle theory are reviewed on an elementary level. Emphasis is put on polarization effects and the role played by electron correlation.
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Weber, F., and M. K. Weigel. "Neutron Star Calculations in the Relativistic Hartree- And Hartree-Fock Approximation." In The Nuclear Equation of State, 785–92. Boston, MA: Springer US, 1989. http://dx.doi.org/10.1007/978-1-4613-0583-5_59.

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Kövér, László. "Determining Electronic Structure from Auger Spectra in the Cluster Approximation." In Hartree-Fock-Slater Method for Materials Science, 209–36. Berlin, Heidelberg: Springer Berlin Heidelberg, 2006. http://dx.doi.org/10.1007/3-540-31297-8_10.

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Maruhn, J. A., and S. E. Koonin. "The Time-Dependent Hartree-Fock Approximation for Nuclear Slabs." In Computational Nuclear Physics 2, 115–27. New York, NY: Springer New York, 1993. http://dx.doi.org/10.1007/978-1-4613-9335-1_7.

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Jucys, A. P. "On the Hartree-Fock Method in Multi-Configuration Approximation." In Advances in Chemical Physics, 191–206. Hoboken, NJ, USA: John Wiley & Sons, Inc., 2007. http://dx.doi.org/10.1002/9780470143599.ch5.

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Szymański, J., D. Neilson, F. Green, and R. Taylor. "Exact Solution for the Hartree Fock Approximation to the Electron Gas." In Recent Progress in Many-Body Theories, 245–51. Boston, MA: Springer US, 1988. http://dx.doi.org/10.1007/978-1-4613-0973-4_25.

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Amusia, Miron Ya, and Larissa V. Chernysheva. "Wave Functions of an Excited State of an Atom in the Hartree–Fock–Dirac Approximation." In Springer Series on Atomic, Optical, and Plasma Physics, 141–46. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-85143-9_7.

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Amusia, Miron Ya, and Larissa V. Chernysheva. "Wave Functions of Excited States of Atoms and Simple Molecules in the Hartree–Fock Approximation." In Springer Series on Atomic, Optical, and Plasma Physics, 119–39. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-85143-9_6.

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Conference papers on the topic "Hartree-Fock approximation"

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LÓPEZ-QUELLE, M., L. N. SAVUSHKIN, S. MARCOS, and P. BERNARDOS. "PSEUDO SPIN-ORBIT POTENTIAL IN THE RELATIVISTIC HARTREE-FOCK APPROXIMATION." In Proceedings of the Conference “Bologna 2000: Structure of the Nucleus at the Dawn of the Century”. WORLD SCIENTIFIC, 2001. http://dx.doi.org/10.1142/9789812799753_0070.

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Kulander, Kenneth C. "Time Dependent Hartree Fock Theory of Multiphoton Ionization." In Multiple Excitations of Atoms. Washington, D.C.: Optica Publishing Group, 1986. http://dx.doi.org/10.1364/mea.1986.tub3.

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The theory of multiphoton ionization for single electron atoms (or pseudo-one electron atoms such as sodium and cesium) is relatively well established from the standpoint of the knowing the relevant equations to be solved and interpreting the results. There is still some debate about the above threshold effects, but ionization rates have been calculated for high order processes, and the results agree well with experiment. This is not the case for multi-electron systems. In the limit of laser fields which are very strong compared to the Coulombic interactions, collective motion should be expected. At lower laser intensities, linear response theory or perturbation theory has proven to be adequate to model the absorption processes. In this regime, the inter-electronic forces are stronger than the photon-electron interaction so that the perturbation series is convergent. For the intermediate regime, say >1014W/cm2, these two kinds of interactions should be treated on the same footing. A complete, exact, many body calculation for this problem is not possible so that several approximations have been considered. Independent particle models seem to be the most reasonable, with time dependent Hartree Fock being able to include most of the important physical effects, particularly as the number of electrons increases. The major approximation of this approach is that the state of the system is represented by a single, determinantal wave function for all time. This constraint limits the kinds of information which can be obtained from the calculations to averaged quantities. It has the merit, however, of including the effects of the time evolution of the electronic charge density on the absorption process. The redistribution of absorbed energy between all the system's electrons, and the rate at which this occurs is part and parcel of the calculations. This energy exchange is done self consistently so that an understanding of the total absorption dynamics is possible. This seems a minimum requirement in order to investigate any collective effects.
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3

Raczkowski, Marcin. "Competition between Vertical and Diagonal Stripes in the Hartree-Fock Approximation." In LECTURE ON THE PHYSICS OF HIGHLY CORRELATED ELECTRON SYSTEMS VII: Seventh Training Course in the Physics of Correlated Electron Systems and High-Tc Superconductors. AIP, 2003. http://dx.doi.org/10.1063/1.1612397.

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4

Gelin, M. F., D. S. Kosov, Pawel Danielewicz, Piotr Piecuch, and Vladimir Zelevinsky. "Self-consistent Hartree-Fock approximation for non-equilibrium electron transport through nanostructures." In NUCLEI AND MESOSCOPIC PHYSICS: Workshop on Nuclei and Mesoscopic Physic - WNMP 2007. AIP, 2008. http://dx.doi.org/10.1063/1.2915576.

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5

BERNARDOS, P., V. N. FOMENKO, M. LÓPEZ-QUELLE, S. MARCOS, R. NIEMBRO, and L. N. SAVUSHKIN. "GAUGE MODEL DESCRIPTION OF NUCLEAR MATTER IN THE DIRAC-HARTREE-FOCK APPROXIMATION." In Proceedings of the Conference “Bologna 2000: Structure of the Nucleus at the Dawn of the Century”. WORLD SCIENTIFIC, 2001. http://dx.doi.org/10.1142/9789812799753_0048.

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ROERICH, VL K., and M. G. GLADUSH. "IMPLICATION OF COHERENT STATE AND HARTREE-FOCK APPROXIMATION TO STUDYING RESONANCE RAYLEIGH SCATTERING." In Proceedings of the Conference. WORLD SCIENTIFIC, 2003. http://dx.doi.org/10.1142/9789812705129_0010.

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Miyatsu, Tsuyoshi, Sachiko Yamamuro, Ken'ichiro Nakazato, and Myung-Ki Cheoun. "Complete equation of state for neutron stars using the relativistic Hartree-Fock approximation." In ORIGIN OF MATTER AND EVOLUTION OF GALAXIES 2013: Proceedings of the 12th International Symposium on Origin of Matter and Evolution of Galaxies (OMEG12). AIP Publishing LLC, 2014. http://dx.doi.org/10.1063/1.4874104.

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8

BERNARDOS, P., R. LOMBARD, M. LÓPEZ-QUELLE, S. MARCOS, and R. NIEMBRO. "DERIVATIVE COUPLING MODEL DESCRIPTION OF NUCLEAR MATTER IN THE DIRAC-HARTREE-FOCK APPROXIMATION." In Proceedings of the Conference “Bologna 2000: Structure of the Nucleus at the Dawn of the Century”. WORLD SCIENTIFIC, 2001. http://dx.doi.org/10.1142/9789812810922_0007.

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9

Kulander, Kenneth C. "Time-dependent Hartree-Fock methods applied to atoms in intense laser fields." In OSA Annual Meeting. Washington, D.C.: Optica Publishing Group, 1989. http://dx.doi.org/10.1364/oam.1989.fb1.

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The study of atoms in intense laser fields is the subject of significant theoretical interest due to recent, surprising experimental results which have included ion-, electron-, and photoemission spectroscopy. The results include unexpectedly high stages of ionization (multiple ionization), absorption of an excess of photons during the ionization process (above threshold ionization), and the emission of surprisingly intense, short-wavelength radiation (harmonic conversion). To some extent all such observations have been attributed initially to the breakdown of perturbation theory. To establish whether this is the case, we have chosen a completely nonperturbative approach to study the dynamics of excitation of atoms in strong fields. Thus, we directly solve the time-dependent Schrodinger equation as accurately as possible for a laser pulse shape which can mimic real experimental conditions. For multielectron systems we employ the time-dependent Hartree-Fock TDHF representation of the wave function.1 For a range of intensities we have found that a single-active-electron approximation to the TDHF equations can give quite good results in comparison with experiments on many systems for ionization rates2 and photon emission.3
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Koch, S. W., F. Jahnke, and H. C. Schneider. "Theory of Semiconductor Microcavities and Lasers." In Quantum Optoelectronics. Washington, D.C.: Optica Publishing Group, 1995. http://dx.doi.org/10.1364/qo.1995.qfb1.

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A fully quantum mechanical theory for the coupled electron-hole-pair and photon dynamics of semiconductor microcavity systems is presented. Based on a nonequilibrium Green’s functions approach, the carrier system is described by a generalized Boltzmann equation which includes contributions for carrier generation, carrier scattering by other carriers and phonons, as well as the spontaneous and stimulated recombination. The photon dynamics is described in terms of coupling to the carriers as well as by the mode confinement through the cavity. The many-body Coulomb effects are included on the level of a screened Hartree-Fock approximation.
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Reports on the topic "Hartree-Fock approximation"

1

Grassi, F. Quark matter in the Hartree-Fock approximation. Office of Scientific and Technical Information (OSTI), July 1987. http://dx.doi.org/10.2172/6205305.

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