Exact integral operator form of the Wigner distribution-function equation in many-body quantum transport theory

A formal derivation of a generalized equation of a Wigner distribution function including all many-body effects and all scattering mechanisms is given. The result is given in integral operator form suitable for application to the numerical modeling of quantum tunneling and quantum interference solid state devices. In the absence of scattering and many-body effects, the result reduces to the noninteracting-particle Wigner distribution function equation, often used to simulate resonant tunneling devices. The derivation uses a Weyl transform technique which can easily incorporate Bloch electrons. Weyl transforms of self-energies are derived. Various simplifications of a general quantum transport equation for semiconductor device analysis and self-consistent numerical simulation of a quantum distribution function in the phase-space/frequency-time domain are discussed. Recent attempts to include collisions in the Wigner distribution-function approach to the numerical simulation of tunneling devices are clearly shown to be non-self-consistent and inaccurate; more accurate numerical simulation is needed for a deeper understanding of the effects of collision and scattering.     

Reversibility and irreversibility from an initial value formulation

From a time evolution equation for the single particle distribution function derived from the N-particle distribution function (A. Muriel, M. Dresden, Physica D 101 (1997) 297), an exact solution for the 3D Navier–Stokes equation – an old problem – has been found (A. Muriel, Results Phys. 1 (2011) 2). In this Letter, a second exact conclusion from the above-mentioned work is presented. We analyze the time symmetry properties of a formal, exact solution for the single-particle distribution function contracted from the many-body Liouville equation. This analysis must be done because group theoretic results on time reversal symmetry of the full Liouville equation (E.C.G. Sudarshan, N. Mukunda, Classical Mechanics: A Modern Perspective, Wiley, 1974). no longer applies automatically to the single particle distribution function contracted from the formal solution of the N-body Liouville equation. We find the following result: if the initial momentum distribution is even in the momentum, the single particle distribution is reversible. If there is any asymmetry in the initial momentum distribution, no matter how small, the system is irreversible.     

Scaling hypothesis,relativistic statistics and critical mass of dwarf stars

Assuming that field theoretic Green’s functions scale, expressions for correlation function, number density, pressure are obtained for a relativistic statistical many-body system. The scaling parameter is related to anomalous dimension and is a measure of interaction. The effect of this interaction on the critical mass of dwarf stars is studied and is not found to be insignificant. A mass radius relation is deduced. The Chandrasekhar limit is reproduced in the limit of non-interaction.     

Relaxation cascade in solids: microscopic theory

The relaxation of an electron excited to the high energy region, is accompanied by the creation of various excitations (plasmons, quasi-particles, phonons). The stages of this many-body, non-stationary phenomenon (cascade) are described microscopically. The electron distribution function n(ɛ, t) and characteristic times for the whole energy range, are calculated. Received 7 February 2003 Published online 11 April 2003     

Electromagnetic Fields of Non-Equilibrium Plasmas

A statistical treatment of the electromagnetic fields of a fully ionized plasma shows that there are two types of radiation. One of the radiation fields is determined by the time change of the distribution function and is characteristic of such plasmas. When the time change is due to the many-body couplings of the charges in the plasma, the radiation can be related to the nonequilibrium stress tensor. In particular, for large distances the radiation is determined by the total internal pressure in a way similar to the classical Larmor formula for a point charge.     

Microscopic theory of optical excitations,photoluminescence, and terahertz response in semiconductors

This article presents a comprehensive many-body theory for optically excited semiconductors. The coupled equations of motion for the correlation functions of the Coulomb-interacting electron-hole system are derived and solved for different excitation conditions. The generation of a coherent excitonic polarization and its conversion into incoherent populations is analyzed. The spontaneous emission properties of the excited system are evaluated using a fully quantized theory. Luminescence from excitonic and electron-hole plasma populations is computed, and significant hole burning in the exciton center of mass distributions is predicted. It is shown how different excitations states of the many-body system can be identified by their characteristic signatures in the absorption spectra of a terahertz probe field.     

The physical and mathematical foundations of the intranuclear cascade model algorithm

The physical and mathematical approximations underlying the intranuclear cascade model (INC) algorithm are considered here. The INC algorithm is shown to be a version of Monte-Carlo calculations for multiple integrals which provide the solutions of the system of coupled equations for many-body distribution functions. The conditions under which these equations are derived from the Schrödinger many-body equations are analysed, with special emphasis on the finite size of the nuclear system.     

LiH，LiO和LiOH的分析势能函数与分子反应动力学

基于相对论有效原子实势（RECP）和密度泛函（B3LYP/SDD）方法，优化得到了LiH，LiO和LiOH的分子结构；研究得到了LiH和LiO的Murrell-Sorbie分析势能函数以及LiOH的多体项展式分析势能函数，由势能函数导出了LiH，LiO和LiOH的离解能，分别为2.722eV，3.592eV和9.085eV，与实验值基本一致.在分析势能函数基础上，用准经典分子散射理论方法，研究了LiH与O的分子反应动力学.结果表明，碰撞反应是一个无阈能反应，即较低的初始平动能更有利于反应产物的形成，主要生 关键词： LiH LiOH 势能函数 分子反应动力学     

Recurrence equations for the computation of correlations in the 1/r2 quantum many-body system

In a previous paper the two-particle distribution function and one-particle density matrix for the quantum many-body system with the 1/r ² pair potential have been expressed as limiting cases of Selberg correlation integrals. Recurrence equations are derived which allow rapid evaluation of these multidimensional integrals. The exact results for the two-particle distribution are compared with the harmonic approximation.     

A comparison of projection operator formalisms for the study of self-diffusion

The utility of projection operator formalisms for describing the dynamics of many-body systems is studied, and the compatibility of these formalisms with certain approximation schemes is evaluated in the light of known behavior of such systems. For simplicity the investigation is limited to the study of Brownian motion. Specifically, a memory kernel formalism and a kinetic equation formalism are compared for the calculation of the time evolution of the momentum autocorrelation function. Both perturbation expansions and averaged propagator approximations are investigated. The results from these studies suggest that the long-time behavior of the momentum autocorrelation function is sensitive to the long-range nature of the interparticle potential.This work was supported in part by the National Science Foundation under Grant GK-19360X.     

双CCD交汇测量系统的设计方法

双CCD交汇测量系统在检测武器的弹着点及命中概率等方面的应用是十分广泛的。由于靶面的探测区域和离地面的高度随不同的武器系统而不同 ,所以给设计带来了一定的困难。从CCD交汇测量原理出发 ,建立了交汇测量系统的坐标分布特征函数、测量精度特征函数和探测分辨率特征函数 ,从而简化了设计过程。     

金属电子关联函数的实空间变分计算

本文求解了在相关基函数理论框架下得到的实空间关联函数的积分方程,得到了金属铝(r_s=2.07)和铯(r_s=5.65)的关联函数,关联能和多体波函数。改进了其它多体理论,本文得到的关联函数是恒正的,并且满足归一化条件。 关键词：     

ARPES measurements of SnAs electronic band structure

A change in the time dependence of the second moment of the distribution of intensities of coherences with various orders in the spectrum of multiple-quantum NMR in a solid at the inclusion of an inhomogeneous magnetic field in the effective interaction is studied. Both the secular dipole–dipole and nonspecular twoquantum interactions are considered as nucleus–nucleus interactions, which correspond to traditional experimental realizations. It is shown that, with an increase in the magnitude of the inhomogeneous field, an exponential increase in the second moment of multiple-quantum NMR with time changes to a power-law increase. The results obtained in this work indicate that this second moment, which determines the average number of dynamically correlated spins, can be used as a convenient characteristic for studying a transition to a many-body localized state.     

海森伯铁磁系统的总能量

对于海森伯铁磁系统,利用多体格林函数方法,在无规相近似下,并且考虑到关联函数〈S⁺S^-〉时,得到对于任意自旋S普遍适用的总能量的表达式.对于三维和二维的情况给出了计算结果.得到的总能量的数值低于没有考虑关联函数时的数值. 关键词： 海森伯模型 铁磁系统 总能量 关联函数     

The deposition of Fe or Co clusters on Cu substrate by molecular dynamic simulation

A molecular dynamic method is used to simulate the film growth process of Fe or Co clusters depositing on Cu substrate with low energy. The tight-binding (TB-SMA) many-body potential is used to simulate the interaction between atoms. The effects of different incident energies and/or substrate temperatures on the surface roughness, layer coverage function, radial distribution function (RDF), and residual stress are investigated. From the simulation results, as the substrate temperature and/or incident energy is increased, the surface roughness of the grown film could be reduced, and the interface intermixing is increased. Also, as compared to Co–Cu system, Fe–Cu system has better surface roughness, less interface intermixing, and similar radial distribution function as well as average stresses.     

19F+93Nb耗散反应的相互作用时间

测量了¹⁹F+⁹³Nb耗散反应产物的激发函数与角分布.从角分布的斜率提取的该反应系统的平均寿命在对称性较大的入射系统中反映了系统中耗散产物的特征时间;通过能量自关联函数方法从激发函数提取的反应时间不论在对称的还是在非对称的入射系统中都反映了耗散产物的特征时间.能量自关联函数还可以给出双核系统的转动角速度以及表征转动阻尼的退相干宽度,更好地描述双核系统随时间的整个演化过程.     

类Li和类Be等电子序列离子基组态能量的Z相关修正

在相对论多体微扰理论和屏蔽理论的基础上,本文提出了一种计算等电子序列离子基组态能量的新方法,通过引入一个与核电荷数Z相关的能量修正函数γ(Z)来考虑由于忽略能量的高阶项对原子体系基组态能量的影响。在对类Li(Z=3～50)和类Be(Z=4～50)等电子序列离子的基组态能量所进行的理论计算研究结果表明,Z相关能量修正对于原子体系基组态能量的准确计算是有效的。     

二维磁性系统和准一维磁性纳米管的内能

采用量子统计理论的多体格林函数法计算二维单离子各向异性海森伯铁磁体、反铁磁体以及单壁铁磁纳米管的内能,对比铁磁体和反铁磁体的结果.在相同的参量下,反铁磁能量总是低于相应的铁磁能量(相变点除外).由于反铁磁能量随温度上升的速度较铁磁能量快,当温度升高到居里点T_C和奈尔点T_N时(T_C=T_N),铁磁能量和反铁磁能量相等.横向关联效应对系统内能的影响较大,不能忽略.     

Response function of the second kind in many-body systems

We analyze a new type of response function which portrays the properties of a system perturbed by an external field in terms of the perturbed two-point correlations of density fluctuations rather than in terms of perturbed averages of physical quantities. This response function of the second kind satisfies both fluctuation-dissipation-like theorems, relating it to three-point equilibrium functions, and hierarchical relationship linking it to conventional quadratic (rather than linear) response functions. In the equal-time limit, when the two density fluctuations are observed at the same time, the response function of the second kind is intimately connected to the two-particle correlation function of kinetic theory. This linkage opens an avenue for developing novel approximation techniques for correlated many-body systems.     

Energy spectrum for a atrongly correlated network and local magnetism

In this work, we consider a quantum strongly correlated network described by an Anderson s - d mixing model. By introducing the Green function on the projected formalism of the Schrieffer and Wolf transformation, the energy spectrum of the system can be obtained. Using this result we calculate the survivability distribution of the network and discuss the local magnetism in the network, which shows that the survivability is an important statistical characteristic quantity not just to reflect the network topological property but also dynamics.