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Electromagnetic Properties of S11 States in a Light Cone Quark Model
HE Jun, and DONG Yu-Bing
Communications in Theoretical Physics   
Abstract602)      PDF(pc) (287KB)(11184)       Save
Using relativistic spin-flavor wave functions of a Lorentz-covariant light cone quark model, we calculate the electromagnetic form factors of two S11 resonances, N(1535) and N(1650), and the helicity amplitudes A1/2 and S1/2 for electroexcitation of the S11 resonances from the nucleon. The electromagnetic form factors of these S11 resonances are found to be similar to those of the nucleon in shape, while the charge form factor of neutral N(1650) is nearly zero. The relative peak height of the S11 charge form factors is controlled by the mixing angle common to both resonance wave functions. As in most quark models, there is a systematic overestimate of Ap1/2 in both N(1535) and N(1650) cases at the photon point. A sizeable S1/2 for all cases is produced as suggested by experiments.
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Symmetry Transformation and New Exact Multiple Kink and Singular Kink Solutions for (2+1)-Dimensional Nonlinear Models Generated by the Jaulent-Miodek Hierarchy
MA Hong-Cai, QIN Zhen-Yun, DENG Ai-Ping
Communications in Theoretical Physics    2013, 59 (02): 141-145.  
Abstract517)      PDF(pc) (10525KB)(8715)       Save
In this paper, we consider a system of (2+1)-dimensional nonlinear models by using CK direct method and Hereman-Nuseir method generated by the Jaulent-Miodek Hierarchy. We construct some new multiple kink and singular kink solutions of (2+1)-Dimensional Nonlinear Models with the aid of symbolic computation.
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Solutions of Woods-Saxon Potential with Spin-Orbit and Centrifugal Terms through Nikiforov-Uvarov Method
M.R. Pahlavani, S.A. Alavi
Communications in Theoretical Physics    2012, (05): 739-743.  
Abstract545)      PDF(pc) (119KB)(5080)       Save
In this study, the analytical solutions of the radial Schrödinger equation for the central Woods-Saxon potential together with spin-orbit interaction and centrifugal terms have been derived by using Nikiforov-Uvarov method. The energy eigenvalues and corresponding eigenfunctions of nucleons have been obtained for various values of n, l, and j quantum numbers. The obtained results using this method are in satisfactory agreement with available data in the special case.
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Absence of Localization in One-Dimensional Lattice with Off-Diagonal Nonlinearity Disorder
PAN ZhiWen, XIONG ShiJie, GONG ChangDe
Communications in Theoretical Physics    1999, 31 (4): 513-516.  
Abstract500)      PDF(pc) (276KB)(4734)       Save
The time evolution of an initially localized mode in a one-dimensional lattice with off-diagonal nonlinearity disorder is studied by solving a modified nonlinear Schrodinger equation. Absence of localization is found when the nonlinearity parameter is beyond the selftrapping region for corresponding periodic httice. The propagation of electrons shows ballistic behavior even in the presence of disorder. When self-trapping occurs, the untrapped portion still escapes ballistically.
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Exact Solutions of Two Coupled Harmonic Oscillators Related to the Sp(4,R) Lie Algebra
PAN Feng and DAI Lian-Rong
Communications in Theoretical Physics   
Abstract717)      PDF(pc) (161KB)(4460)       Save
Exact solutions of the eigenvalue problem of two coupled harmonic oscillators related to the Sp(4,R) Lie algebra are derived by using an algebraic method. It is found that the energy spectrum of the system is determined by one-boson excitation energies built on a vector coherent state of Sp(4,R)\supset U(2).
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A Simple Method for Calculating Exciton Binding Energies in Semiconductor Quantum wires
Jian-Xin ZHU, Guo-Yi QIN, Chang-De GONG
Communications in Theoretical Physics    1994, 22 (1): 27-30.  
Abstract383)      PDF(pc) (224KB)(4407)       Save
We present a simple, general method for calculating the binding energies of excitons in semiconductor quantum wires. The binding energy is given by an integral (over the electron and hole two-dimensional coordinates perpendicular to the wire) of a prescribed function weighted by the squares of the electron and hole subband envelope functions. Taking as an example, we calculate the binding energy of exciton in quantum wires assuming an infinite confining potential. This method should be applicable to a variety of more complex systems.
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Density of States in Two-Dimensional Square Lattices Around Half Filling with Strong Impurities
GU Yu, YANG Yong-Hong,, WANG Yong-Gang, and ZHANG Qun
Communications in Theoretical Physics   
Abstract554)      PDF(pc) (218KB)(4362)       Save
We calculate the lowest-order quantum-interference correction to the density of states (DOS) of weakly-disordered two-dimensional (2D) tight-binding square lattices around half filling. The impurities are assumed to be randomly distributed on small fractions of the sites, and have a strong potential yielding a unitary-limit scattering. In addition to the usual diffusive modes in the retarded-advanced channel, there appear diffusive π modes in the retarded-retarded (or advanced-advanced) channel due to the existence of particle-hole symmetry. It is found that the π-mode diffuson gives rise to a logarithmic suppression to the DOS near the band center, which prevails over the positive correction contributed by π-mode cooperon. As a result, the DOS is subject to a negative total correction. This result is qualitatively different from the divergent behavior of the DOS at the band center predicted previously for disordered 2D two-sublattice models with the particle-hole symmetry.
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A Formula of Average Path Length for Unweighted Networks
LIU Chun-Ping, LIU Yu-Rong, HE Da-Ren, and ZHU Lu-Jin
Communications in Theoretical Physics   
Abstract379)      PDF(pc) (107KB)(4306)       Save
In this paper, based on the adjacency matrix of the network and its powers, the formulas are derived for the shortest path and the average path length, and an effective algorithm is presented. Furthermore, an example is provided to demonstrate the proposed method.
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Time Evolution of the Time-Dependent Harmonic Oscillator
XU Jingbo, YU Youhong
Communications in Theoretical Physics    1998, 29 (3): 385-388.  
Abstract386)      PDF(pc) (155KB)(4227)       Save
The time evolution of the time-dependent harmonic oscillator is studied by a sequence of unitary transformations and the exact evolving state for the system is obtained. A specific model of frequency variation for the time-dependent harmonic oscillator is discussed as an illustrative example.
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Test of the Possible Application of the Half-Way Bounce-Back Boundary Condition for Lattice Boltzmann Methods in Complex Geometry
WAN Rong-Zheng and FANG Hai-Ping
Communications in Theoretical Physics   
Abstract1007)      PDF(pc) (176KB)(3916)       Save
The way of handling boundary conditions with simple bounce-back rule in the lattice gas and lattice Boltzmann method had been considered as one of the advantage compared with other numerical schemes. The half-way bounce-back rule inherits the advantage of the bounce-back rule and improves the accuracy to the second-order on flat boundaries. In this paper, we test the possible application of the half-way bounce-back rule to the system with complex geometry. Our simulation results show that the half-way bounce-back rule is a good boundary condition in the problems without emphasis on accuracy.
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Solutions of  Laplace Equation in n-Dimensional Spaces
FENG Jing-Jing, HUANG Ling, and YANG Shi-Jie
Communications in Theoretical Physics    2011, 56 (04): 623-625.  
Abstract637)      PDF(pc) (92KB)(3863)       Save
The solutions of the Laplace equation in n-dimensional space are studied. The angular eigenfunctions have the form of associated Jacobi polynomials. The radial solution of the Helmholtz equation is derived.
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Exact Solutions of Fractional-Order Biological Population Model
A.M.A. El-Sayed, S.Z. Rida, and A.A.M. Arafa
Communications in Theoretical Physics   
Abstract793)      PDF(pc) (668KB)(3702)       Save
In this paper, the Adomian's decomposition method (ADM) is presented for finding the exact solutions of a more general biological population models. A new solution is constructed in power series. The fractional derivatives are described in the Caputo sense. To illustrate the reliability of the method, some examples are provided.
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Exact Numerical Solutions of Bose-Hubbard Model
ZHANG Dan and PAN Feng
Communications in Theoretical Physics   
Abstract840)      PDF(pc) (244KB)(3531)       Save
Hamiltonian of a one-dimensional Bose-Hubbard model is re-formulated by using differential realization of the boson algebra. Energy matrices can then be generated systematically by using a Mathematica package. The output can be taken as the input of other diagonalization codes. As examples, exact energy eigenvalues and the corresponding wavefunctions for some cases are obtained with a Fortran diagonalization code. Phase transition of the model is analyzed.
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Birkhoffian Symplectic Scheme for a Quantum System
SU Hong-Ling
Communications in Theoretical Physics   
Abstract642)      PDF(pc) (175KB)(3505)       Save
In this paper, a classical system of ordinary differential equations is built
to describe a kind of n-dimensional quantum systems. The absorption spectrum and the density of the states for the system are defined from the points of quantum view and classical view. From the Birkhoffian form of the equations, a Birkhoffian symplectic scheme is derived for solving n-imensional equations by using the generating function method. Besides the Birkhoffian structure-preserving, the new scheme is proven to preserve the discrete local energy conservation law of the system with zero vector f. Some numerical experiments for a 3-dimensional example show that the new scheme can simulate the general Birkhoffian system better than the implicit midpoint scheme, which is well known to be symplectic scheme for Hamiltonian system.
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Calculation of Electronic Structure of Zinc-Blende CdS
Xian-Qi DAI, Wen-Chang LU, Zong-Xian YANG, Shu-Yi WE and Tao ZHANG
Communications in Theoretical Physics    1996, 26 (3): 257-262.  
Abstract475)      PDF(pc) (309KB)(3370)       Save
The linear-muffin-tin orbital method is used to study the electronic-energy-band structure of zinc-blende CdS. Incorporating the 4d states of Cd into the valence band gives substantially the main-valenceband width, and yields valenceband features in agreement with the experiment. The calculated equilibrium lattice constant is in accord with the measured result. The fundamental band gap is found to be direct at T point and the value is about 1.21 eV. The band structure calculation shows that the present results are in good agreement with experiments and other calculations.
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Numerical Analysis of Multilayer Waveguides Using Effective Refractive Index Method
GAO Shao-Wen, CAO Jun-Cheng, and FENG Song-Lin
Communications in Theoretical Physics   
Abstract578)      PDF(pc) (280KB)(3339)       Save
With the help of the effective refractive index method we have numerically analyzed a multilayer planar waveguide structure and calculated the propagation constants, confinement factors, and transverse electric (TE) modes. A five-layer waveguide model has been provided to analyze the electro-magnetic wave propagation process. The analysis method has been applied to the 980 nm laser with active layer of GaInAs/GaInAsP strained quantum wells, GaInAsP confinement layers and GaInP cap layers. By changing the thickness of confinement layers, we obtained confinement factor as high as 95% with higher TE modes TE1 and TE2. The results are in good agreement with the experiment by A. Al-Muhanna et al. and give the new idea to enhance output power of semiconductor lasers. The analysis method can also be extended to any other slab multilayer waveguide structures, and the results are useful to the fabrication of optic-electronic devices.
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[Review] Dark Energy
LI Miao, LI Xiao-Dong, WANG Shuang, and WANG Yi
Communications in Theoretical Physics    2011, 56 (03): 525-604.  
Abstract2964)      PDF(pc) (9651KB)(3253)       Save
We review the problem of dark energy, including a survey of theoretical models and some aspects of numerical studies.
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Surface Passivation of Ti/4H-SiC Schottky Barrier Diode
Muhammad Khalid, Saira Riaz, Shahzad Naseem
Communications in Theoretical Physics    2012, 58 (04): 577-582.  
Abstract520)      PDF(pc) (1977KB)(3201)       Save
Surface properties of SiC power devices mostly depend on the passivation layer (PL).This layer has direct influence on electrical characteristics of devices.2D numerical simulation of forward and reverse characteristics with and without different (PLs) (SiO2,HfO2 and Si3N4) has been performed.Simulation results show that the breakdown voltage increases with increasing PL thickness,and there is a lesser significant effect on forward characteristics.The maximum breakdown voltage with and without SiO2 PL is 1240 V and 276 V,respectively.SiO2 PL has compatibility with SiC surface providing high breakdown voltage,6 and 8% higher than that of HfO2 and Si3N4 respectively.Low leakage current is observed which then further decreases on reducing the thickness of PL.Furthermore,variation of forward current with dielectric constant and thickness of PLs was observed.Finally,it is suggested that matches of our results with published experimental results indicate that the Sentaurus TCAD simulator is a predictive tool for the SiC Schottky barrier diode simulation.
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Calculation of Arbitrary Overlap Integrals over Slater Type Orbitals Using Basic Overlap Integrals
I. I. Guseinov, B. A. Mamedov, M. Orbay, T. Özdogan
Communications in Theoretical Physics    2000, 33 (2): 161-166.  
Abstract431)      PDF(pc) (272KB)(3119)       Save
The recurrence relations are presented for the calculation of basic overlap integrals, by making use of which other overlap integrals are calculated analytically. These recurrence relations are especially useful for the calculation of any overlap integral for large quantum numbers. For the arbitrary values of screening constants of atomic orbitals and internuclear distances an accuracy of the computer results is satisfactory for the values of principal quantum numbers of Slater functions up to 50.
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FAN Hong-yi, LIU Zu-wei, RUAN Tu-nan
Communications in Theoretical Physics    1984, 3 (2): 175-188.  
Abstract480)      PDF(pc) (341KB)(2968)       Save
It is pointed out that the assertion that the eigenfunction of the creation operator a+ is identically zero is not rigorous.On the contrary, the eigenfunction of a+ may be discussed by using the contour integral representation of δ function, the property of which and the relation with the eigenstate of the annihilation operator are discussed. Its applications, especially the application in thoroughly studying the inverse operator's properties, are presented. It is shown that the phase operator can also be represented by the inverse operator.
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Complete Solution of Sun Tracking for Heliostat
CHEN Ying-Tian, LIM Boon-Han, and LIM Chern-Sing
Communications in Theoretical Physics   
Abstract558)      PDF(pc) (114KB)(2926)       Save
A general solution of sun tracking for an arbitrarily oriented heliostat towards an arbitrarily located target on the earth is published. With the most general form of solar tracking formulae, it is seen that the used azimuth-elevation, spinning-elevation tracking formulae etc. are the special cases of it. The possibilities of utilizing the general solution and its significance in solar energy engineering are discussed.
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Exact Stationary Solution of Fokker-Planck Equation and Generalized Potential for Non-Equilibrium Systems Without Detailed Balance
Cun-Zheng NING, Gang HU
Communications in Theoretical Physics    1991, 16 (4): 415-420.  
Abstract441)      PDF(pc) (327KB)(2860)       Save
An exact analogy is approached between systems in thermal equilibrium and those far from equilibrium which can be the cases without detailed balance. The analogy is based on the requirement that a given drift in the Fokker-Planck equation can be decomposed into two parts, one of which is divergence-free and the other can be derived from a potential which is invariant along the direction of the first part. If the conditions are fulfilled the Fokker-Planck equation changes in to a standard Poisson equation. The relations of this requirement to other conditions are diecussed. As a concrete example, the stationary Fokker-Planck equation for optical bistability is solved by using"this method.
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The Staggered Magnetization of the Square Lattice Frustrated Heisenberg Model
Shi-Min CUI
Communications in Theoretical Physics    1993, 19 (2): 129-138.  
Abstract427)      PDF(pc) (414KB)(2765)       Save
Spin-wave expansion is used to evaluate the staggered magnetization of frustrated antiferromagnetic (AF) Heisenberg model with next-nearest-neighbor exchange couplings on a square lattice to the order O(1/S) at zero temperature. It is shown that the O(1/S) order correction increases the staggered magnetization and its presence invalidates the conventional spin- wave conclusions at large frustrations. We apply the mean-field approximation to deal with the quartic terms in the Hamiltonian of the Holstein-Primakoff transformation. A phaqe diagtam is obtained, suggesting that the NCel order is not destroyed for S≥1 at any frustration, while for S = 1/2 there may exist a disordered phase for strong frustrations.
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Clebsch-Gordan Coefficients, Racah Coefficients and Braiding Fusion of Quantum sl(2) Enveloping Algebra Ⅱ
Bo-yu HOU, Bo-yuan HOU, Zhong-qi MA
Communications in Theoretical Physics    1990, 13 (3): 341-354.  
Abstract369)      PDF(pc) (385KB)(2751)       Save
The explicit forms of the quantum Clebsch-Gordan coefficients and the first-type quantum Racah coefficients for the quantum sl(2) enveloping algebra are computed in detail. Exact values of some coefficients are listed. An important relation, quantum Racah sum rule, is proved.
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Dependence of Optical Absorption in Silicon Nanostructures on Size of Silicon Nanoparticles
DING Wen-Ge, YUAN Jing, MENG Ling-Hai, WU Shu-Jie, YU Wei, and FU Guang-Sheng
Communications in Theoretical Physics   
Abstract598)      PDF(pc) (1347KB)(2727)       Save
The amorphous silicon nanoparticles (Si NPs) embedded in silicon nitride (SiNx) films prepared by helicon wave plasma-enhanced chemical vapor deposition (HWP-CVD) technique are studied. From Raman scattering investigation, we determine that the deposited film has the structure of silicon nanocrystals embedded in silicon nitride (nc-Si/SiNx) thin film at a certain hydrogen dilution amount. The analysis of optical absorption spectra implies that the Si NPs is affected by quantum size effects and has the nature of an indirect-band-gap semiconductor. Further, considering the effects of the mean Si NP size and their dispersion on oscillator strength, and quantum-confinement, we obtain an analytical expression for the spectral absorbance of ensemble samples. Gaussian as well as lognormal size-distributions of the Si NPs are considered for optical absorption coefficient calculations. The influence of the particle
size-distribution on the optical absorption spectra was systematically studied. We present the fitting of the optical absorption experimental data with our model and discuss the results.
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Charge Gap in One-Dimensional Extended Hubbard Model
DING Guo-Hui, YE Fei, and XU Bo-Wei
Communications in Theoretical Physics   
Abstract570)      PDF(pc) (244KB)(2694)       Save
By using the bosonization and renormalization group methods, we have studied the low energy physical properties in one-dimensional extended Hubbard model. The formation of charge and spin gaps is investigated at the half-filled electron band. An analytical expression for the charge gap in terms of the Coulomb repulsive interaction strength U and the nearest-neighbour interaction parameter V is obtained.
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Specific Heat and Magnetic Susceptibility of Graphene: A RenormalizationGroup Study
HE Pei-Song, OH Sung-Jin, CHEN Yu, and TIAN Guang-Shan
Communications in Theoretical Physics   
Abstract711)      PDF(pc) (210KB)(2626)       Save
In the present paper, we study effect of the long-range Coulomb interaction on the thermodynamic properties of graphene by renormalization group methods. Our calculations show that both the specific heat and the magnetic susceptibility of the material behave differently from the Landau Fermi liquid. More precisely, we find that these quantities are logarithmically suppressed with respect to its noninteracting counterpart when temperature is low.
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A Model for Extreme Ultraviolet Radiation Conversion Efficiency From Laser Produced Mass-Limited Tin-Based Droplet Target Plasmas
WU Tao, WANG Xin-Bing, YU Shi-Cheng, XIONG Lun
Communications in Theoretical Physics    2012, 57 (4): 695-700.  
Abstract534)      PDF(pc) (744KB)(2584)       Save
Simple arguments are used to construct a model to explain the extreme ultraviolet radiation conversion efficiency (EUV-CE) of a tin-based droplet target laser produced plasmas by calculating the laser absorption efficiency, radiation efficiency, and spectral efficiency. The dependence of drive laser pulse duration and laser intensity on EUV-CE is investigated. The results show that at some appropriate laser intensity, where the sum energy of the thermal conduction, out-off band radiation and plasma plume kinetic losses is at a minimum, the EUV-CE should reach a maximum. The EUV-CE predicted by the present simple model is also compared with the available experimental and simulation data and a fair agreement between them is found.
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Physical Properties of III-Antiminodes --- a First Principles Study
Rashid Ahmed, Fazal-e-Aleem, S. Javad Hashemifar, Haris Rashid, and H. Akbarzadeh
Communications in Theoretical Physics   
Abstract714)      PDF(pc) (1108KB)(2552)       Save
A comprehensive first principles study of III-Antimonide binary compounds is
hardly found in literature. We report a broad study of structural and electronic
properties of boron antimonide (BSb), aluminium antimonide (AlSb), gallium
antimonide (GaSb) and indium antimonide (InSb) in zincblende phase based on density functional theory (DFT). Our calculations are based on
Full-Potential Linearized Augmented Plane wave plus local orbitals
(FP-L(APW+lo)) method. Different forms of exchange-correlation energy
functional and corresponding potential are employed for structural and
electronic properties. Our computed results for lattice parameters, bulk
moduli, their pressure derivatives, and cohesive energy are consistent with
the available experimental data. Boron antimonide is found to be the hardest
compound of this group. For band structure calculations, in addition to LDA
and GGA, we used GGA-EV, an approximation employed by Engel and Vosko. The band gap results with GGA-EV are of significant improvement over the earlier work.
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Mean First-Passage Time for Non-Markovian Processes Driven by Continuous Noise
Ming YANG, Da-Jin WU, Li CAO
Communications in Theoretical Physics    1995, 23 (2): 167-174.  
Abstract361)      PDF(pc) (290KB)(2512)       Save
In this article, we discuss the mean first-passage time for non-Markovian processes driven by continuous noise. Applying the iterative method to the Volterra integral equation, we obtain for the first time the series solution to the mean first-passage time problem and present the exact expression for the mean first-passage time in both the cases of rectangular distribution and long-tail distribution.
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Derivation of Renormalization Group Equations of Higgs-Dependent Coupling Constants in n-Generation Standard Model
Bang-Rong ZHOU
Communications in Theoretical Physics    1996, 26 (1): 97-102.  
Abstract382)      PDF(pc) (291KB)(2435)       Save
An explicit derivation of the renormalization group equations of the fermion-Higgs Yukawa coupling constants and the Higgs-quartic coupling constant in the standard model with n generations of fermions is given in the Feynman gauge.
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Elastic and Thermodynamic Properties of CdSe from First-Principles Calculations
TAN Jia-Jin, CHENG Yan, ZHU Wen-Jun, and GOU Qing-Quan
Communications in Theoretical Physics   
Abstract796)      PDF(pc) (185KB)(2427)       Save
The lattice parameters, bulk modulus, phase transition pressure, and temperature dependencies of the elastic constants cij of CdSe are investigated by using the Cambridge Serial Total Energy Package (CASTEP) program in the frame of Density Functional Theory (DFT). It is found that the phase transitions from the ZB structure to the RS structure and from WZ structure to RS structure are 2.2 GPa and 2.8 GPa, respectively. Our results agree well with the available experimental data and other theoretical results. The aggregate elastic modulus (B, G, E, A), the Poisson's ratio (υ), the Grüneisen parameter (γ), the Debye temperature ΘD on pressure and temperature are also successfully obtained.
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Notes on Application of WKB Method
GU Xiao-Yan and SUN Jian-Qiang
Communications in Theoretical Physics   
Abstract542)      PDF(pc) (100KB)(2423)       Save
The notes here presented are of the modifications introduced in the application of WKB method. The problems of two- and three-dimensional harmonic oscillator potential are revisited by WKB and the new formulation of quantization rule respectively. It is found that the energy spectrum of the radial harmonic oscillator, which is reproduced exactly by the standard WKB method with the Langer modification, is also reproduced exactly without the Langer modification via the new quantization rule approach. An alternative way to obtain the non-integral Maslov index for three-dimensional harmonic oscillator is proposed.
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WU Xue-jun, XU Chong-ming
Communications in Theoretical Physics    1988, 9 (1): 119-125.  
Abstract716)      PDF(pc) (242KB)(2295)       Save
In this paper, we proved that the null geodesic equations in general isotropic metric are rigorously equivalent to the differential equations bf light rays in a medium of flat 3-dimension.,31 space, which are the fundamental equations of geometrical optics, when the effect bf gravitational field tb light ray is taken as that of a variable "refractive index"。Our results provide the basic way to strictly describe the characteristics of some gravitational fields in terms of the Euclidean framework. It may be useful in the computation of modern astrometry and gravitational Lens effects. Finally, as a special example,the deflection of Iight by gravitational field is discussed by means of the formula of pure classical geometrical optics.
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Optical Conductivity of Graphene Sheet Including Electron-Phonon Interaction
Hamze Mousavi
Communications in Theoretical Physics    2012, 57 (03): 482-484.  
Abstract563)      PDF(pc) (120KB)(2274)       Save
Using an expression of optical conductivity, based on the linear response theory, the Green's function technique and within the Holstein Hamiltonian model, the effect of electron-phonon interaction on the optical conductivity of graphene plane is studied. It is found that the electron-phonon coupling increases the optical conductivity of graphene sheet in the low frequency region due to decreasing quasiparticle weight of electron excitation while the optical conductivity reduces in the high frequency region. The latter is due to role of electrical field's frequency.
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Symmetry Group of C60 Structure: Coordinate and Matrix Representation
Yi-Qin WU, Yu-Lin WU, Tu-Nan RUAN
Communications in Theoretical Physics    1997, 27 (3): 297-304.  
Abstract459)      PDF(pc) (265KB)(2259)       Save
In this paper, we present the coordinate and the matrix representation of the icosahedron by using a direct and simple method of vector analysis.
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An Improved Study of Electronic Band Structure and Optical Parameters of X-Phosphides (X=B, Al, Ga, In) by Modified Becke-Johnson Potential
Masood Yousaf, M.A. Saeed, R. Ahmed, M.M. Alsardia, Ahmad Radzi Mat Isa, A. Shaari
Communications in Theoretical Physics    2012, (05): 777-784.  
Abstract605)      PDF(pc) (3332KB)(2209)       Save
We report the electronic band structure and optical parameters of X-Phosphides (X=B, Al, Ga, In) by first-principles technique based on a new approximation known as modified Becke-Johnson (mBJ). This potential is considered more accurate in elaborating excited states properties of insulators and semiconductors as compared to LDA and GGA. The present calculated band gaps values of BP, AlP, GaP, and InP are 1.867 eV, 2.268 eV, 2.090 eV, and 1.377 eV respectively, which are in close agreement to the experimental results. The band gap values trend in this study is as: Eg(mBJ-GGA/LDA) > Eg(GGA) > Eg(LDA). Optical parametric quantities (dielectric constant, refractive index, reflectivity and optical conductivity) which based on the band structure are also presented and discussed. BP, AlP, GaP, and InP have strong absorption in between the energy range 4-9 eV, 4-7 eV, 3-7 eV, and 2-7 eV respectively. Static dielectric constant, static refractive index and coefficient of reflectivity at zero frequency, within mBJ-GGA, are also calculated. BP, AlP, GaP, and InP show significant optical conductivity in the range 5.2-10 eV, 4.3-8 eV, 3.5-7.2 eV, and 3.2-8 eV respectively. The present study endorses that the said compounds can be used in opto-electronic applications, for different energy ranges.
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On the Weyl Ordering operation
Hong-Yi FAN, Hai-Guang WENG
Communications in Theoretical Physics    1992, 18 (2): 155-160.  
Abstract422)      PDF(pc) (218KB)(2174)       Save
A Weyl ordering product operation (with its representative symbol) is introduced. On the basis of the operation, a technique of integration within a Weyl ordered product is put forward. Application of the technique to the coherent state representation leads us to derive the Weyl ordered forms of some important operators in quantum mechanics, which can be rigorously checked by the relation between our Weyl ordering product operation and the Weyl correspondence rule.
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Generalization of Susskind-Glogower Phase Operators and Inverse Field Operators to q-Deformed Case
Hong-Yi FAN
Communications in Theoretical Physics    1993, 19 (4): 509-512.  
Abstract416)      PDF(pc) (137KB)(2150)       Save
We analyze some properties of Susskind-Glogower (SG) phase operators exp(iΦ) and exp(-iΦ) by making use of inverse field operators. The generalization of the analysis to q-deformed case is given.
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Lattice Dynamics Study of Magnesium Chalcogenides
ZHANG Xu-Dong, LI Zhi-Jie, and SHI Gui-Mei
Communications in Theoretical Physics    2012, 57 (02): 295-300.  
Abstract680)      PDF(pc) (1354KB)(2146)       Save
First-principles calculations, which are based on the plane-wave pseudopotential approach to density functional perturbation theory within the local density approximation, have been performed to investigate the structural, lattice dynamical and thermodynamic properties of zinc blende (B3) structure magnesium chalcogenides: MgS, MgSe and MgTe. The results of ground state parameters and phonon dispersion are compared and agree well with the experimental data available and other calculations. We obtain the change of Born effective charge and LO-TO splitting under hydrostatic pressure. Finally, by the calculations of phonon frequencies, some thermodynamic properties such as the entropy, heat capacity, internal energy, and free energy are also successfully obtained.
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