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Artykuły w czasopismach na temat „Hamiltonian Calculations”

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Data publikacji: 7 września 2023

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1

Rai, S., A. Biswas, and B. Mukherjee. "Nuclear structure of low-lying states in 60,62,64,66Zn — A shell model description." International Journal of Modern Physics E 25, no. 11 (2016): 1650099. http://dx.doi.org/10.1142/s0218301316500993.

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Shell model calculation has been performed for even–even [Formula: see text]Zn using NuShellX code in [Formula: see text] model space with two different effective Hamiltonians, viz. JUN45 and jj44b. The low-lying structure is studied up to angular momentum, [Formula: see text] = 10[Formula: see text] by calculating level energies, reduced transition probabilities, occupation numbers, lifetimes, and quadrupole moments. The results of the calculations are compared with the available experimental data. It is observed that the inclusion of 1[Formula: see text] orbital in the model space is essenti

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2

Elyseeva, Julia. "The Oscillation Numbers and the Abramov Method of Spectral Counting for Linear Hamiltonian Systems." EPJ Web of Conferences 248 (2021): 01002. http://dx.doi.org/10.1051/epjconf/202124801002.

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In this paper we consider linear Hamiltonian differential systems which depend in general nonlinearly on the spectral parameter and with Dirichlet boundary conditions. For the Hamiltonian problems we do not assume any controllability and strict normality assumptions which guarantee that the classical eigenvalues of the problems are isolated. We also omit the Legendre condition for their Hamiltonians. We show that the Abramov method of spectral counting can be modified for the more general case of finite eigenvalues of the Hamiltonian problems and then the constructive ideas of the Abramov meth

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3

Coraggio, L., A. Covello, A. Gargano, and N. Itaco. "Core polarization and modern realistic shell-model Hamiltonians." International Journal of Modern Physics E 26, no. 01n02 (2017): 1740006. http://dx.doi.org/10.1142/s0218301317400067.

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The understanding of the convergence properties of the shell-model effective Hamiltonian, within the framework of the many-body perturbation theory, is a long-standing problem. The infinite summation of a certain class of diagrams, the so-called “bubble diagrams,” may be provided calculating the Kirson–Babu–Brown induced interaction, and provides a valid instrument to study whether or not the finite summation of the perturbative series is well-grounded. Here, we perform an application of the calculation of the Kirson–Babu–Brown induced interaction to derive the shell-model effective Hamiltonia

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4

Polley, Kritanjan, and Roger F. Loring. "Two-dimensional vibronic spectroscopy with semiclassical thermofield dynamics." Journal of Chemical Physics 156, no. 12 (2022): 124108. http://dx.doi.org/10.1063/5.0083868.

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Thermofield dynamics is an exactly correct formulation of quantum mechanics at finite temperature in which a wavefunction is governed by an effective temperature-dependent quantum Hamiltonian. The optimized mean trajectory (OMT) approximation allows the calculation of spectroscopic response functions from trajectories produced by the classical limit of a mapping Hamiltonian that includes physical nuclear degrees of freedom and other effective degrees of freedom representing discrete vibronic states. Here, we develop a thermofield OMT (TF-OMT) approach in which the OMT procedure is applied to a

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5

Tuszyński, J. A., and J. M. Dixon. "A Quantum Field Theoretical Analysis of Spin-Half Metamagnetism." International Journal of Modern Physics B 11, no. 12 (1997): 1445–62. http://dx.doi.org/10.1142/s0217979297000733.

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A number of metallic compounds such as FeRh, Mn3GaC , and FeCl2 exhibit the interesting property of metamagnetism, i.e. the presence of order–order magnetic-phase transitions. The microscopic Hamiltonian that is commonly used to describe this class of system is of Heisenberg type with competing exchange interactions between the nearest- and next-nearest neighbours. Starting from this quantum Hamiltonian, through several transformations, it is possible to obtain an effective second-quantized Hamiltonian which has a two-body interaction term. A recent method of analyzing such Hamiltonians is the

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6

MARTIN, RICHARD M. "Derivation of Models for the Interacting Electrons in Cu-O Superconductors." International Journal of Modern Physics C 02, no. 01 (1991): 105–14. http://dx.doi.org/10.1142/s0129183191000111.

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Key questions for theory of high temperature superconductors involve the nature of the electronic system: the minimum essential Hamiltonian and the low energy states of such Hamiltonians. To attempt to answer these questions we are carrying out studies using constrained density functional (CDF) methods to identify the relevant electronic states and realistic values of the parameters, combined with exact calculations on the reduced model Hamiltonians. The CDF calculations lead to a 3-band Hubbard model for Cu-O planes with parameters in general agreement with high energy spectroscopies and low

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7

Seke, J., A. V. Soldatov, and N. N. Bogolubov. "Novel Technique for Quantum-Mechanical Eigenstate and Eigenvalue Calculations based on Seke's Self-Consistent Projection-Operator Method." Modern Physics Letters B 11, no. 06 (1997): 245–58. http://dx.doi.org/10.1142/s0217984997000311.

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Seke's self-consistent projection-operator method has been developed for deriving non-Markovian equations of motion for probability amplitudes of a relevant set of state vectors. This method, in a Born-like approximation, leads automatically to an Hamiltonian restricted to a subspace and thus enables the construction of effective Hamiltonians. In the present paper, in order to explain the efficiency of Seke's method in particular applications, its algebraic operator structure is analyzed and a new successive approximation technique for the calculation of eigenstates and eigenvalues of an arbit

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8

Li, Yanting, Gediminas Gaigalas, Wenxian Li, Chongyang Chen, and Per Jönsson. "Fine-Tuning of Atomic Energies in Relativistic Multiconfiguration Calculations." Atoms 11, no. 4 (2023): 70. http://dx.doi.org/10.3390/atoms11040070.

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Ab initio calculations sometimes do not reproduce the experimentally observed energy separations at a high enough accuracy. Fine-tuning of diagonal elements of the Hamiltonian matrix is a process which seeks to ensure that calculated energy separations of the states that mix are in agreement with experiment. The process gives more accurate measures of the mixing than can be obtained in ab initio calculations. Fine-tuning requires the Hamiltonian matrix to be diagonally dominant, which is generally not the case for calculations based on jj-coupled configuration state functions. We show that thi

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9

S. Almeida, Nuno M., Timothé R. L. Melin, Sasha C. North, Bradley K. Welch, and Angela K. Wilson. "Ab initio composite strategies and multireference approaches for lanthanide sulfides and selenides." Journal of Chemical Physics 157, no. 2 (2022): 024105. http://dx.doi.org/10.1063/5.0094367.

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The f-block ab initio correlation consistent composite approach was used to predict the dissociation energies of lanthanide sulfides and selenides. Geometry optimizations were carried out using density functional theory and coupled cluster singles, doubles, and perturbative triples with one- and two-component Hamiltonians. For the two-component calculations, relativistic effects were accounted for by utilizing a third-order Douglas–Kroll–Hess Hamiltonian. Spin–orbit coupling was addressed with the Breit–Pauli Hamiltonian within a multireference configuration interaction approach. The state ave

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10

Xia, Rongxin, Teng Bian, and Sabre Kais. "Electronic Structure Calculations and the Ising Hamiltonian." Journal of Physical Chemistry B 122, no. 13 (2017): 3384–95. http://dx.doi.org/10.1021/acs.jpcb.7b10371.

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11

Rashev, Svetoslav, Isak Bivas, and David C. Moule. "Large scale vibrational Hamiltonian calculations on thiophosgene." Chemical Physics Letters 438, no. 4-6 (2007): 153–56. http://dx.doi.org/10.1016/j.cplett.2007.02.067.

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12

Banerjee, J. R., A. J. Sobey, H. Su, and J. P. Fitch. "Use of computer algebra in Hamiltonian calculations." Advances in Engineering Software 39, no. 6 (2008): 521–25. http://dx.doi.org/10.1016/j.advengsoft.2007.03.013.

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13

Aroca, J. M., and H. Fort. "Hamiltonian loop calculations for 2 + 1 QED." Physics Letters B 317, no. 4 (1993): 604–8. http://dx.doi.org/10.1016/0370-2693(93)91379-2.

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14

Wang, Cai-Zhuang, Wen-Cai Lu, Yong-Xin Yao, Ju Li, Sidney Yip, and Kai-Ming Ho. "Tight-binding Hamiltonian from first-principles calculations." Scientific Modeling and Simulation SMNS 15, no. 1-3 (2008): 81–95. http://dx.doi.org/10.1007/s10820-008-9108-y.

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15

Lam, Yi Hua, and Nadezda A. Smirnova. "Isospin Non-Conservation in Shell Model Approach and Applications*." EPJ Web of Conferences 178 (2018): 05006. http://dx.doi.org/10.1051/epjconf/201817805006.

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Up to now, empirical shell-model Hamiltonians for valence space calculations provide the most accurate description of the low-energy spectra and individual transitions of sd- and pf-shell nuclei. These features made them of particular importance for the description of the isospin-symmetry-breaking phenomena, such as energy splitting of the isobaric multiplets or isospin-forbidden transition rates. In this contribution, we demonstrate the applications of a recently constructed isospin non-conserving (INC) Hamiltonian in sd shell [Lam et al. Phys. Rev. C 87, 054304 (2013)]. First, we explore the

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16

Michalski, Rafal, and Ryszard J. Radwanski. "Computer Calculations of the Thermally-Induced Magnetic and Electronic Properties of the Rare Earth Compounds RERu₂Si₂." Materials Science Forum 480-481 (March 2005): 617–22. http://dx.doi.org/10.4028/www.scientific.net/msf.480-481.617.

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The aim of this paper is to demonstrate the effectiveness of the calculation method, which takes into consideration the electrostatic ligands field as well as the the magnetic interactions. Our calculations method based on crystal field (CEF) together with the Zeeman effect in one Hamiltonian and allows calculating many of the temperature dependencies of the magnetic and electronic properties of the rare earth compounds. The result of the calculations shows the accuracy of the approach even for the intermetallic compounds. The obtained results for calculations of the compounds of the family in

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17

Vasileiou, Polytimos, Theo J. Mertzimekis, Eirene Mavrommatis, and Aikaterini Zyriliou. "Nuclear Structure Investigations of Even–Even Hf Isotopes." Symmetry 15, no. 1 (2023): 196. http://dx.doi.org/10.3390/sym15010196.

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The mass region of rare-earth nuclei in the nuclear chart is riddled with well-deformed nuclei, exhibiting rotational properties and many interesting nuclear structure-related phenomena. The scarcity of experimental data as the neutron number increases and the exotic phenomena such as shape coexistence, which are strongly connected with the underlying symmetries of the Hamiltonian and are predicted to take place in this region, make this mass region a fertile ground for experimental and theoretical studies of nuclear structure. In this work, we investigate the structure of the even–even 162–18

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18

Carlson, J., V. R. Pandharipande, and R. Schiavilla. "Variational Monte Carlo calculations ofH3andHe4with a relativistic Hamiltonian." Physical Review C 47, no. 2 (1993): 484–97. http://dx.doi.org/10.1103/physrevc.47.484.

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19

Semay, Claude. "Fourier grid Hamiltonian method and Lagrange-mesh calculations." Physical Review E 62, no. 6 (2000): 8777–81. http://dx.doi.org/10.1103/physreve.62.8777.

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20

Forest, J. L., V. R. Pandharipande, J. Carlson, and R. Schiavilla. "Variational Monte Carlo calculations ofH3andHe4with a relativistic Hamiltonian." Physical Review C 52, no. 2 (1995): 576–77. http://dx.doi.org/10.1103/physrevc.52.576.

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21

Baretty, Reinaldo, and Carmelo Garcia. "Modified breit-pauli hamiltonian suitable for variational calculations." International Journal of Quantum Chemistry 34, S22 (1988): 425–30. http://dx.doi.org/10.1002/qua.560340845.

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22

Olszewski, S., T. Roliński, M. Baszczak, and R. Kozak. "Phase-space Symmetry and the Action Function of the Pendulum Problem." Zeitschrift für Naturforschung A 57, no. 11 (2002): 888–96. http://dx.doi.org/10.1515/zna-2002-1108.

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An approach to the pendulum problem, which is an alternative to the well-known traditional treatment of that problem, has been formulated. An advantage of the new approach is provided by a full symmetry in the position and momentum variables of the Hamiltonian expression for the energy of the system. A similar symmetry holds for the Hamilton equations describing the motion of a pendulum-like point mass. Calculations of the action function forthe two kinds of pendulum Hamiltonians - the traditional one and the new one - are presented.

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23

Wang, F., and EI von Nagy-Felsobuki. "Ab Initio Ro-Vibrational Structure of the C2? Isotopes of H2O+." Australian Journal of Physics 45, no. 5 (1992): 651. http://dx.doi.org/10.1071/ph920651.

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The ro-vibrational structures of the C2" isotopes ofH20+ have been calculated from variational solution of the normal coordinate Eckart-Watson Hamiltonian. The calculations use the discrete ab initio potential energy surface of Weis et al. (1989). Where comparisons can be made, the assignment of the vibrational states is in excellent agreement with experiment and with the ab initio variational calculation of Weis et al., who utilised a different force field and an internal coordinate nuclear Hamiltonian (instead of the Eckart-Watson amiltonian). Furthermore, the calculated rotational levels of

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24

Taqi, Ali H., R. A. Radhi, and Adil M. Hussein. "Low excitations of 16O using generalized density matrix random phase approximation GDRPA." International Journal of Modern Physics E 23, no. 08 (2014): 1450038. http://dx.doi.org/10.1142/s0218301314500384.

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The random phase approximation (RPA) equations based on the generalized density matrix (GDM), the so-called GDRPA are reformulated in a more compact matrix form, which renders the method especially suitable for realistic nuclear structure calculations. The GDRPA Hamiltonian is expressed in terms of the one-body particle–particle (pp) and hole–hole (hh) density matrices, and the nuclear force contributes not only in the particle–hole (ph) channel, as in normal ph-RPA, but also in the pp and hh channels. The Hamiltonian is diagonalized iteratively starting from initial guess values and the itera

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25

Medina-Dozal, Luis, Irán Ramos-Prieto, and José Récamier. "Approximate Evolution for A Hybrid System—An Optomechanical Jaynes-Cummings Model." Entropy 22, no. 12 (2020): 1373. http://dx.doi.org/10.3390/e22121373.

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In this work, we start from a phenomenological Hamiltonian built from two known systems: the Hamiltonian of a pumped optomechanical system and the Jaynes-Cummings Hamiltonian. Using algebraic techniques we construct an approximate time evolution operator U^(t) for the forced optomechanical system (as a product of exponentials) and take the JC Hamiltonian as an interaction. We transform the later with U^(t) to obtain a generalized interaction picture Hamiltonian which can be linearized and whose time evolution operator is written in a product form. The analytic results are compared with purely

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26

Chávez, Matías, Thomas Wiegand, Alexander A. Malär, Beat H. Meier, and Matthias Ernst. "Residual dipolar line width in magic-angle spinning proton solid-state NMR." Magnetic Resonance 2, no. 1 (2021): 499–509. http://dx.doi.org/10.5194/mr-2-499-2021.

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Abstract. Magic-angle spinning is routinely used to average anisotropic interactions in solid-state nuclear magnetic resonance (NMR). Due to the fact that the homonuclear dipolar Hamiltonian of a strongly coupled spin system does not commute with itself at different time points during the rotation, second-order and higher-order terms lead to a residual dipolar line broadening in the observed resonances. Additional truncation of the residual broadening due to isotropic chemical-shift differences can be observed. We analyze the residual line broadening in coupled proton spin systems based on the

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27

Морозов, С. В., та М. С. Жолудев. "Применение метода матрицы рассеяния для расчета примесных состояний в полупроводниковых структурах". Письма в журнал технической физики 47, № 7 (2021): 26. http://dx.doi.org/10.21883/pjtf.2021.07.50795.18663.

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We adapted S-matrix method for calculation of energy levels and carrier wavefunctions near impurity/defect states. We demonstrate the possibility of implying this method for multiband models on the example of Luttinger Hamiltonian with Coulomb acceptor in the spherical symmetry approximation. The obtained energies of discrete levels are in well agreement with results of calculations performed by other methods.

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28

Türkan, Nurettin, Davut Olgun, and Ýhsan Uluer. "IBM-2 calculations of some even-even selenium nuclei." Open Physics 4, no. 1 (2006): 124–54. http://dx.doi.org/10.1007/s11534-005-0011-9.

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AbstractIn this study, we determined the most appropriate Hamiltonian that is needed for present calculations of nuclei in the A≅ 80 region by the view of interacting boson model (IBM-2). Using the best-fitted values of parameters in the Hamiltonian, we have calculated energy levels and B(E2) values for a number of transitions in some doubly even Se nuclei. The results were compared with the previous experimental and theoretical data and it is observed that they are in good agreement. The calculations have been extended to Se isotopes with A < 76 for which some B(E2) values are still not kn

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29

Sokolovsky, A. I. "Realization of the Landau definitions of effective Hamiltonian and nonequilibrium free energy in microscopic theory." Journal of Physics and Electronics 28, no. 2 (2020): 63–74. http://dx.doi.org/10.15421/332022.

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Equilibrium fluctuations of some set of parameters in the states described by the canonical Gibbs distribution are investigated. In the theory of phase transitions of the second kind, these parameters are components of the order parameter. The microscopic realization of the Landau definition of the effective Hamiltonian of the system for studying the equilibrium fluctuations of the specified system of parameters is discussed in the terms of the probability density of their values. A general formula for this function is obtained and it is expressed through the equilibrium correlation functions

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30

Gilleron, Franck, and Jean-Christophe Pain. "A global approach to perform large-scale configuration–interaction calculations." Canadian Journal of Physics 95, no. 9 (2017): 878–83. http://dx.doi.org/10.1139/cjp-2016-0886.

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We present a global approach that allows one to tackle cumbersome configuration–interaction calculations. The method is based on the use of approximate configuration-averaged Hamiltonian matrix elements that can be expressed in compact form as a combination of Slater integrals. With some assumptions, we show that the Hamiltonian matrix to be diagonalized may be reduced to a size equivalent to the number of configurations in the basis set. The approach can be used to estimate shifts of configuration average energies and changes in the total strength of transition arrays. The method is also well

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31

Shova, Sergiu, Angelica Vlad, Maria Cazacu, et al. "A five-coordinate manganese(iii) complex of a salen type ligand with a positive axial anisotropy parameter D." Dalton Transactions 46, no. 35 (2017): 11817–29. http://dx.doi.org/10.1039/c7dt01809f.

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32

Rivero, P., I. de Pr Moreira, and F. Illas. "Spin Hamiltonian effective parameters from periodic electronic structure calculations." Journal of Physics: Conference Series 117 (June 1, 2008): 012025. http://dx.doi.org/10.1088/1742-6596/117/1/012025.

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33

Yung, C. M., C. R. Allton, and C. J. Hamer. "Hamiltonian Monte Carlo calculations on (2+1)-dimensional QED." Physical Review D 39, no. 12 (1989): 3778–84. http://dx.doi.org/10.1103/physrevd.39.3778.

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34

Patkos, A., and P. Rujan. "Basis vector importance sampling for Hamiltonian lattice spectrum calculations." Journal of Physics A: Mathematical and General 18, no. 10 (1985): 1765–79. http://dx.doi.org/10.1088/0305-4470/18/10/029.

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35

Katsuki, S., and S. Huzinaga. "An effective hamiltonian method for valence-electron molecular calculations." Chemical Physics Letters 152, no. 2-3 (1988): 203–6. http://dx.doi.org/10.1016/0009-2614(88)87355-x.

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36

TAO, R. B., X. HU, and M. SUZUKI. "DISCUSSION ON THE MEAN FIELD APPROXIMATION IN THE RVB THEORY." Modern Physics Letters B 02, no. 10 (1988): 1205–9. http://dx.doi.org/10.1142/s0217984988001144.

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Baskaran’s mean field approximation of the Hubbard Hamiltonian with strong correlation and half-filling is discussed. Our calculations show that his decoupling of the Hamiltonian is not permissible in the half-filling case and that it destroys the equivalence of the Hubbard model to the Heisenberg magnetic system and violates some spin-spin relations.

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37

Sen, Rupam, Ashim Kalyan, and Ramendu Bhattacharjee. "A study of the stretching vibrational spectroscopy of C120O and C120O2 by u(2) lie algebra." Journal of the Serbian Chemical Society 78, no. 1 (2013): 85–92. http://dx.doi.org/10.2298/jsc120131074s.

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The vibrational energy levels of endohedral fullerene dimers C120O and C120O2 are calculated considering the local Hamiltonian of Morse potential using the algebra. Here each bond of the molecules is replaced by a corresponding Lie algebra and finally the Hamiltonian is constructed considering the interacting Casimir and Majorana operators. The fundamental stretching modes of vibration of both the dimmers C120O and C120O2 are then calculated using this Hamiltonian to compare the results of functional-based tight-binding (DF-TB) calculations.

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38

Pingak, Redi Kristian, Rosara Kolmate, and Bernandus Bernandus. "A Simple Matrix Approach to Determination of the Helium Atom Energies." Jurnal Penelitian Fisika dan Aplikasinya (JPFA) 9, no. 1 (2019): 10. http://dx.doi.org/10.26740/jpfa.v9n1.p10-21.

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Calculation of He atomic energy levels using the first order perturbation theory taught in the Basic Quantum Mechanics course has led to relatively large errors. To improve its accuracy, several methods have been developed but most of them are too complicated to be understood by undergraduate students. The purposes of this study are to apply a simple matrix method in calculating some of the lowest energy levels of He atom (1s2, triplet 1s2s, and singlet 1s2s states) and to reduce errors obtained from calculations using the standard perturbation theory. The convergence of solutions as a functio

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39

Singh, Jagjit, Sunny Aggarwal, A. K. Singh, and Man Mohan. "Breit–Pauli atomic structure calculations for sulphur-like titanium." Canadian Journal of Physics 90, no. 9 (2012): 833–47. http://dx.doi.org/10.1139/p2012-074.

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Configuration interaction calculation has been performed for excitation energies, oscillator strengths, and transition probabilities of 114 fine-structure levels of sulphur-like titanium. The relativistic effects are included in Breit–Pauli approximation by adding mass-correction, Darwin, and spin–orbit interaction terms to the nonrelativistic Hamiltonian. We have adjusted the diagonal elements of Hamiltonian matrices (fine-tuning) before the calculation of oscillator strength and transition probabilities for the electric dipole allowed transitions. Our calculated data are in close agreement w

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40

HORN, D. "THE t-EXPANSION AND HAMILTONIAN LATTICE QCD." International Journal of Modern Physics A 04, no. 09 (1989): 2147–72. http://dx.doi.org/10.1142/s0217751x89000856.

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The t-expansion is a tool designed to improve on any variational calculation of a quantum theory. It is designed to produce the correct volume behavior of operators appearing in lattice models. We review its formulation and discuss the techniques used for its analysis by testing it on the solvable Heisenberg model in 1+1 dimensions. We discuss its application to the SU(3) lattice gauge theory in 3+1 space-time dimensions. Starting with strong coupling wave functions we investigate the pure glue sector. We review the calculations of the energy-density, the string-tension and several glueball ma

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41

BYLANDER, D. M., and LEONARD KLEINMAN. "THE OPTIMIZED EFFECTIVE POTENTIAL FOR ATOMS AND SEMICONDUCTORS." International Journal of Modern Physics B 10, no. 04 (1996): 399–425. http://dx.doi.org/10.1142/s0217979296000167.

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Given an n-electron Hamiltonian containing a potential operator such as the Fock operator, the optimized effective potential (OEP) is that simple multiplicative potential whose n lowest eigenfunctions minimize the expectation value of the Hamiltonian. Thus it is the exact Kohn-Sham potential for that Hamiltonian. We discuss OEP calculations and the KLI approximation to it for atoms and semiconductors. Because the Fock operator treats exchange exactly, all deviations from experimental energies are attributable to the use of approximate correlation energy density functionals whose shortcomings a

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42

Batagin-Neto, Augusto, Erika Soares Bronze-Uhle, and Carlos Frederico de Oliveira Graeff. "Electronic structure calculations of ESR parameters of melanin units." Physical Chemistry Chemical Physics 17, no. 11 (2015): 7264–74. http://dx.doi.org/10.1039/c4cp05256k.

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Electronic structure calculations were employed to evaluate spin hamiltonian parameters of distinct monomers and dimers of melanin. The results bring valuable insights regarding the nature of the sub-structures responsible for the intrinsic paramagnetism observed in this biomaterial and their roles in electrical conductivity.

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BARTON, GABRIEL. "VAN DER WAALS FRICTION: A HAMILTONIAN TEST-BED." International Journal of Modern Physics: Conference Series 14 (January 2012): 16–26. http://dx.doi.org/10.1142/s2010194512007209.

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In the van der Waals regime (neglecting relativity and retardation), we find the power P generated by friction between two Drude-modelled dissipative half-spaces, at fixed separation and relative speed u, admitting only low u and low temperatures. This requires only elementary quantum mechanics; but the results can serve as partial checks on calculations in the fully retarded Casimir regime. They also raise questions regarding (i) the frequency-distribution of P; (ii) the status of predictions about Casimir forces generally, insofar as they feature parameters like conductivities with their emp

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BARTON, GABRIEL. "VAN DER WAALS FRICTION: A HAMILTONIAN TEST-BED." International Journal of Modern Physics A 27, no. 15 (2012): 1260002. http://dx.doi.org/10.1142/s0217751x12600020.

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In the van der Waals regime (neglecting relativity and retardation), we find the power P generated by friction between two Drude-modelled dissipative half-spaces, at fixed separation and relative speed u, admitting only low u and low temperatures. This requires only elementary quantum mechanics; but the results can serve as partial checks on calculations in the fully retarded Casimir regime. They also raise questions regarding (i) the frequency-distribution of P; (ii) the status of predictions about Casimir forces generally, insofar as they feature parameters like conductivities with their emp

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45

FENG, WEN-LIN, and WEN-CHEN ZHENG. "INVESTIGATION OF THE DEFECT STRUCTURE, OPTICAL AND EPR SPECTRA FOR CdS: Ti2+ AND CdSe: Ti2+ CRYSTAL." International Journal of Modern Physics B 23, no. 27 (2009): 5325–31. http://dx.doi.org/10.1142/s0217979209053503.

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The optical spectral band positions and spin-Hamiltonian parameters (g factors g‖, g⊥ and zero-field splitting D) of CdS : Ti 2+ and CdSe : Ti 2+ crystals are calculated from the complete diagonalizaion (of energy matrix) method based on a two-spin-orbit parameter model for 3d2 ions in trigonal symmetry. In the model, both the contribution to spin-Hamiltonian parameters due to the spin-orbit parameter of central 3d2 ions and that of ligand ions are included. The crystal field parameters used in the calculations are obtained from the superposition model which enables correlation of the optical

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46

Jiménez-Mejía, Raúl E., Rodrigo Acuna Herrera, and Pedro Torres. "Analysis of Spatially Doped Fused Silica Fiber Optic by Means of a Hamiltonian Formulation of the Helmholtz Equation." Advances in Materials Science and Engineering 2018 (2018): 1–11. http://dx.doi.org/10.1155/2018/5806947.

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This paper discusses an alternative method for calculating modal parameters in optical fibers such as propagation constants, transverse distributions, and anisotropy, due to linear and nonlinear phenomena acting as perturbations caused by doped silica regions. This method is based on a Hamiltonian formulation of the Helmholtz equation and the stationary perturbation theory, which allows a full-vectorial description of the electric field components when linear anisotropic inhomogeneities and Kerr nonlinearity are included. Linear and nonlinear parameters can be found for each propagating mode,

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BRACKEN, PAUL. "DIAGONALIZATION OF A HAMILTONIAN DESCRIBING A SINGLE TWO-LEVEL ATOM INTERACTING WITH A TWO MODE AMPLIFIER." International Journal of Modern Physics B 21, no. 02 (2007): 211–20. http://dx.doi.org/10.1142/s0217979207035960.

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A Hamiltonian which describes the interaction of a single atom with two photon modes is introduced. It is shown that the Hamiltonian can be diagonalized in a particular basis. The energies and an eigenvector basis set are obtained. Some quasi-probability densities are calculated using amplitudes determined with respect to the rotated basis. Some of the physical phenomena which are manifested in the calculations are discussed.

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Nejad, Arman, and Deborah L. Crittenden. "On the separability of large-amplitude motions in anharmonic frequency calculations." Physical Chemistry Chemical Physics 22, no. 36 (2020): 20588–601. http://dx.doi.org/10.1039/d0cp03515g.

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Nuclear vibrational theories based upon the Watson Hamiltonian are ubiquitous in quantum chemistry, but cannot model molecules with delocalised large-amplitude vibrations. Dropping these is an efficient and effective way of circumventing the problem.

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Mead, Lawrence R., Sungwook Lee, and David Garfinkle. "A non-trivial PT-symmetric continuum Hamiltonian and its eigenstates and eigenvalues." Journal of Mathematical Physics 63, no. 7 (2022): 072104. http://dx.doi.org/10.1063/5.0096250.

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In this paper, a non-trivial system governed by a continuum PT-symmetric Hamiltonian is discussed. We show that this Hamiltonian is iso-spectral to the simple harmonic oscillator. We find its eigenfunctions and the path in the complex plane along which these functions form an orthonormal set. We also find the hidden symmetry operator, [Formula: see text], for this system. All calculations are performed analytically and without approximation.

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50

Larsson, Jonas. "A new Hamiltonian formulation for fluids and plasmas. Part 3. Multifluid electrodynamics." Journal of Plasma Physics 55, no. 2 (1996): 279–300. http://dx.doi.org/10.1017/s0022377800018833.

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The Hamiltonian structure underlying ideal multifluid electrodynamics is formulated in a way that simplifies Hamiltonian perturbation calculations. We consider linear and lowest-order nonlinear theory, and the results in Part 1 of this series of papers are generalized in a satisfactory way. Thus the Hermitian structure of linearized dynamics is derived, and we obtain the coupling coefficients for resonant three-wave interaction in symmetric form, giving the Manley–Rowe relations.

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