Generalization of iterative perturbation theory and coherent potential approximation (ITP+CPA) to double exchange model with orbital degeneracy

A combination of the iterative perturbation theory （ITP） of the dynamical mean field theory （DMFT） and coherentpotential approximation （CPA） is generalized to the double exchange model with orbital degeneracy. The Hubbard interaction and the off-diagonal components for the hopping matrix tij^mn（m ≠ n） are considered in our calculation of spectrum and optical conductivity. The numerical results show that the effects of the non-diagonal hopping matrix elements are important.

Feynman Perturbation Series for the Morse Potential

In this paper we give an alternative treatment of the Schrodinger equation with the Morse potential, which based on the exact summation of the Feynman perturbation series in its original form. Using Fourier transform we establish a recurrence equation between terms of the perturbation series. Finally, by the inverse Fourier transform and some technical tools of the ordinary differential equations of the second order, we can compute the exact sum of the perturbation series which is the Green’s function of the problem.

Effect of Potential Perturbation Polarization on the Stress Corrosion Cracking of Type 321 Stainless Steel

The SCC susceptibility of type 321 stainless steel in acidic chloride solution has been studied by slow strain rate testing (SSRT) and SEM. During the slow rate tensile process, the specimen was polarized with different potential perturbation modes such as cyclic potential scan and cyclic potential step methods. The results indicated that the potential scan rate or step frequency played an essential role in the initiation and propagation of crack.

Peculiar features of the interaction potential between hydrogen and antihydrogen at intermediate separations

This paper evaluates the interaction potential between a hydrogen and an antihydrogen using the second-order perturbation theory within the framework of the four-body system in a separable two-body basis. It finds that the H-H interaction potential possesses the peculiar features of a shallow local minimum located around interatomic separations of r ～ 6a.u. and a barrier rising at τ ≤5a.u.

Splitting of Spectra in Anharmonic Oscillators Described by Kratzer Potential Function

A perturbation theory model that describes splitting of the spectra in highly symmetrical molecular species in electrostatic field is proposed. An anahrmonie model of a two-dimensional oscillator having Kratzer potential energy function is used to model the molecular species and to represent the unperturbed system. A selection rule for the radial quantum number of the oscillator is derived. The eigenfunctions of a two-dimensional anharmonic oscillator in cylindrical coordinates are used for the matrix elements representing the probability for energy transitions in dipole approximation to be calculated. Several forms of perturbation operators are proposed to model the interaction between the polyatomic molecular species and an electrostatic field. It is found that the degeneracy is removed in the presence of the electric field and spectral splitting occurs. Anharmonic approximation for the unperturbed system is more accurate and reliable representation of a reaJ polyatomic molecular species.

Dissipation-Managed Bright Soliton in a 1D Bose-Einstein Condensate in an Optical-Lattice Potential

We study the formation of a dynamically-stabilized dissipation-managed bright soliton in a quasi-onedimensional Bose-Einstein condensate by including an imaginary three-body recombination loss term and an imaginary linear feeding one in the Gross Pitaevskii equation, trapped in a shallow optical-lattice potential. Based on the direct approach of perturbation theory for the nonlinear Schroedinger equation, we demonstrate that the height （as well as width） of bright soliton may have little change through selecting experimental parameters.

Coupling Interactions and Trapped Effects for a Triple-Well Potential

Weak and strong coupling interactions and trapped effects have always played a significant role in understanding physical and chemical properties of materials. Triple-well anharmonic potential may be modeled for interpretation of energy spectra from the nuclear to macro molecular systems, and also crystalline systems. Exact periods of a trapped particle in each well of the potential are explicitly derived. For the extended Duffing system, it is predicted that infinite series of both frequency and spatial trajectory approach to exact results in the limit of weak-coupling cases (g→0).

Analytic perturbation solutions to the Venusian orbiter due to the nonspherical gravitational potential

The analytic perturbation solutions to the motions of a planetary orbiter given in this paper are effective for 0e1, where e is the orbital eccentricity of the orbiter. In the solution, it is assumed that the rotation of the central body is slow, and its astronomical background is clear. Examples for such planets in the solar system are Venus and Mercury. The perturbation solution is tested numerically on two Venusian orbiters with eccentric orbits, PVO and Magellan, and found to be effective.

Bound States of the Perturbed Schrödinger Systems

A bound state of the Schrödinger system is disturbed by an additional potential.It is shown that the system is still in a bound state if and only if its energy correction is restricted to the corresponding value.This infers some previous series solutions in quantum mechanics to be unbound states for the order i>1 of perturbation.The corrected bound states of the system are given and their physical meaning is discussed simply.Application of the method to Stark effect reveals its advantage for researches of quantum chaos.

Investigation of Bose-Einstein Condensates in q-Deformed Potentials with First Order Perturbation Theory

The Gross-Pitaevskii equation, which is the governor equation of Bose-Einstein condensates, is solved by first order perturbation expansion under various q-deformed potentials. Stationary probability distributions reveal one and two soliton behavior depending on the type of the q-deformed potential. Additionally a spatial shift of the probability distribution is found for the dark soliton solution, when the q parameter is changed.

L^p-L^q ESTIMATES FOR HIGHER ORDER PERTURBED HYPERBOLIC EQUATION

In this paper Lp Lq estimates for the solution u(x,t) to the following perturbed higher order hyperbolic equation are considered,(οtt-aΔ)(οtt-bΔ)u+V(x)u=0,\ x∈Rn,n≥6, οjtu(x,0)=0,\ ο3tu(x,0)=f(x),\ (j=0,1,2).We assume that the potential V(x) and the initial data f(x) are compactly supported, and V(x) is sufficiently small, then the solution u(x,t) of the above problem satisfies the same Lp Lq estimates as that of the unperturbed problem. Received November 25,1996. Revised April 14,1997.1991 MR Subject Classification:35L05,35B20,35B45.

The Pionic Deuterium and the Pion Tetrahedron Vacuum Polarization

A double-well potential model is proposed for the pionic deuterium that enables to calculate the energy split, the potential barrier height and estimate the pion tetrahedron edge length. We propose that pion tetrahedrons, πTd = ud~dũ, play a central role in the Yukawa interaction by enabling quark exchange reactions between protons and neutrons by tunneling through a potential barrier. A vacuum polarization Feynman diagram is proposed for the πTd having chains of fermion loops for the two valence quarks and anti-quarks connected by gluons. With a higher order vacuum polarization diagram, the d and u quark loops are interleaved and the chiral symmetry is broken dynamically. The proposed πTd vacuum polarization integral does not diverge in both the IR and UV limits and vanishes in the limit of an infinite pion tetrahedron condensate. We propose a new Delbruck scattering Feynman diagram that includes d and u quark and anti-quark interleaved loops. We further propose that conversion of gravitons to photons may occur via quark and anti-quark loops that describe the pion tetrahedrons dynamics in the vacuum and may also transfer gravitational waves.

Semi-Relativistic Two-Body States of Spinless Particles with a Scalar-Type Interaction Potential

A semi-relativistic quantum approximation for mutual scalar interaction potentials is outlined and discussed.Equations are consistent with two-body Dirac equations for bound states of zero total angular momentum. Two-body effects near the non-relativistic limit for a linear scalar potential is studied in some detail.

状态相关闭排队网络中的性能指标灵敏度公式

本文通过研究一类Markov过程在无穷小矩阵的参数摄动下稳态性能指标的灵敏度 ,运用无穷小矩阵的群逆、实现矩阵和势能这三个描述稳态性能指标灵敏度的等价量 ,给出了状态相关闭排队网络在参数摄动下的稳态性能指标灵敏度公式 .这些结果可直接用于排队网络的控制和优化 .

山地上冰雹云的数值试验研究

建立了一个适用于复杂地形的冰雹云模式。模式是二维、弹性、非静力、采用地形跟随坐标、包含双变参数冰相微物理过程参数化。使用实测的初值条件和环境场进行试验。对理想对称型山地的不同初始位温扰动作模拟。结果表明 ,当初始位温扰动在迎风坡和山顶时冰雹云发展较弱 ,而当初始位温扰动在背风坡和平原时冰雹云发展较强。当初始位温扰动在背风坡时冰雹云的降雹量约为当初始位温扰动在迎风坡时冰雹云降雹量的 6倍。山地上冰雹云的发展可能主要受山地上中层扰动气流和冰雹云微物理过程相结合的影响。

一类闭排队网络基于性能势的优化算法

讨论了一类闭排队网络的优化算法 .该闭排队网络具有一般的性能指标函数 ,它既依赖于网络系统的状态 ,又依赖于每个服务者的服务率 .采用实现因子、性能指标势及无穷小矩阵的群逆三个量计算了稳态性能指标代价对服务率的梯度 ,还应用直接梯度搜索方法得到了使性能指标达到最小的最优策略 .最后 。

闭排队网络当性能函数与参数相关时的性能灵敏度分析

借助于无穷小矩阵摄动方法 ,讨论了一类Markov过程 ,其稳态性能关于参数摄动的灵敏度分析问题 .然后研究了闭排队网络的稳态性能灵敏度分析问题 ,并在参数相关性能函数的情况下 ,给出了网络的几种稳态性能的灵敏度公式 .这些公式表明稳态性能灵敏度很容易通过网络势能进行计算 .

用微扰理论状态方程计算电解质水溶液的活度系数

An equation of state for electrolyte aqueous solution is developed by treating the ion-ion electrostatic and ion-solvent molecule interactions with primitive MSA and perturbation theory, respectively. The effect of the dielectric constant on the ionic chemical potential and the calculation accuracy of ionic mean activity coefficients for 2∶1 and 1∶1 type halide aqueous solution are discussed.By taking ionic Pauling diameter as ionic hard sphere diameter for anions and treating the cation hard sphere diameter as ionic strength dependent, the equation can be used to calculate ionic activity coefficients in the moderate concentration range with good accuracy.

开排队网络的性能指标灵敏度公式

研究了Ｍａｒｋｏｖ型开排队网络的性能指标在其参数摄动下的灵敏度，并在性能指标函数与网络参数有关的情况下，导出了用网络势能表示的几种稳态性能指标的灵敏度公式．同时给出了实现因子的一个表达式．

氯化钠水溶液的Monte Carlo分子模拟研究

采用Monte Carlo计算机分子模拟方法,研究了氯化钠水溶液在常温和高温情况下粒子的径向分布函数和粒子间各种作用位能的热力学性质.模拟过程采用了NTV正则系综,粒子间的作用能包括离子库仑静电作用,偶极子作用以及色散作用,这些作用构成了电解质溶液的基本框架.模拟结果与微扰理论和平均球近似积分方程理论的预测值进行了比较.