同位旋非对称核物质性质与扩展的BHF方法(Ⅰ)同位旋相关的扩展的BHF方法

通过引进基态关联和同位旋自由度的区分,推广了Brueckner Hartree Fock理论方法,并应用于同位旋非对称核物质,系统地研究了在整个同位旋自由度范围内核物质的状态方程和单粒子特性及其同位旋效应.还研究了微观三体核力对同位旋非对称核物质性质及其同位旋效应的影响,定量讨论了三体力效应与相对论性平均场理论及Dirac Brueckner方法的联系.主要给出了同位旋相关的Brueckner Hartree Fock方法的基本理论和计算公式.     

铁氧体参量耦合振荡的理论分析

在本文中我们系统地讨论了铁氧体小样品在超高频电源的激发下产生参量振璗的耦合关系,指出激发机构应分为磁场驱动和磁化驱动二类。前者的特例为Denton新近发现的,使用空间均匀的纵向注入场;后者的特例为Suhl最早所研究的,使用空间均匀的横向注入场所激发的一致进动的磁化向量为驱动力。从静磁势函数的耦合微分方程我们得到这二种特殊注入方式激发的静磁势函数的完全解(一次近似),表达为Walker函数的线性组合,在边界连续的要求下,这些势函数中的Walker模只在它们的指标之间适合一定的条件时才相互关联。当直流磁场调谐于一对Walker模时,耦合的静磁势简化为静磁操作的势函数。我们具体分析了静磁操作参量振璗从注入场吸取的功率,根据后者必须不为零才可能产生参量振璗,我们推导出空间均匀场激发一对静磁模的选择定则,恰与从边界连续推出的关联条件完全相同,并且进一步得到空间不均匀场激发一对静磁模的选择定则。我们指出,参量振璗的振幅的决定必须引用能量守恒和量子数相等的方程。最后我们采用Suhl的方法推算出空间均匀的纵向注入场的激发临阈强度,并且讨论了这一方法的近似性质。     

同位旋非对称核物质性质与扩展的BHF方法（I）同位旋相关的扩展的BHF方法

通过引进基态关联和同位旋自由度的区分，推广了Brueckner-Hartree-Fock理论方法，并应用于同位旋非对称核物质，系统地研究了在整个同位素旋自由度范围内核物质的状态方程和单粒子特征及其内位旋效应。还研究了微量三体核力对同位旋非对称核物质性质及同位旋效应的影响，定量讨论了三体力效应与相对论性平均场理论及Dirac-Brueckner方法的联系，主要给出了同位旋相关的Breckner-Hartree-Fock方法的基本理论和计算公式。     

热核物质液气相变的临界温度和三体核力效应

通过引入微观三体核力, 扩展了有限温度Brueckner-Hartree-Fock方法. 利用这一扩展的理论模型, 研究了热核物质的状态方程和液气相变现象并计算了临界温度, 讨论了三体核力对液气相变临界点性质的影响并与Dirac-Brueckner-Hartree-Fock方法的理论预言进行了比较. 结果表明：三体核力对热核物质状态方程提供一个随密度和温度增大而增强的排斥贡献, 而且三体核力的排斥效应导致热核物质液气相变的临界温度明显降低.     

磁声参量振荡的理论

在本文中,我们从磁-弹性耦合的宏观表达式,通过经典场论的方法,求得弹性振动和磁振璗的耦合方程,用来分析了伴随波长约等于铁氧体样品的线度的声振动而存在的磁振璗(磁声模)。文中指出,Spencer和LeCraw所发现的磁声效应是磁声模和静磁模在注入场的激发下产生的参量振璗现象(也可以说是热声子的电磁讯号的放大)。我们引用Berk等人在讨论一种半静磁操作放大器的文章中给出的公式,算出Spencer-LeCraw实验所需要的功率,其结果与记录的数据相接近。我们提出了使任一静磁模配合磁声模产生振璗的调谐条件以及降低激发功率和观测几十到几百兆赫的声频的办法。通过磁声模和静磁模的交变场向量的空间对称性的分析,我们推导出磁声参量振璗的选择定则:对于球体三个主要弹性振动模(旋转模、向径模和椭球模),(1)静磁模(n,m,r)的Walker指标n是偶数者不产生磁声效应;(2)指标m是奇数者不与旋转模产生磁声效应,m是偶数者不与向径模或椭球模产生磁声效应。我们也举出第一类本征振动中有只可能和n是偶数、m是奇数的静磁模产生参量振璗的例子。Spencer-LeCraw局限于使静磁场调谐在(110)模上,所观察到的现象仅仅是本文所给出理论预见的一个特殊情况。他们发现了椭球模和向径模的频率显著地出现,但并无旋转模的频率,这是上述的选择定则的具体验证。最后,我们指出,热声子的参量放大可形成铁氧体微波放大器的噪声的来源。     

自旋极化核物质的状态方程

在Brueckner-Hartree-Fock理论框架内,研究了自旋极化核物质的状态方程及其自旋依赖性,计算了相关的物理量如朗道参数G₀和G′₀,并着重讨论了三体核力的影响.结果表明:在整个自旋极化度范围内,自旋极化核物质的每核子能量随中子和质子自旋极化度的变化相当精确地满足二次方规律,而且在Brueckner-Hartree-Fock理论框架内,自旋非极化核物质的能量总是比相应的自旋极化核物质的能量低,这表明核物质中不会发生由自旋非极化态向自旋极化态的自发相变.当密度较低时,三体核力对核物质状态方程的自旋依赖性的影响不明显;随着密度的增大,三体核力效应增强,而且三体核力使朗道参数G₀和G′₀增大,从而使核物质对于自旋涨落的稳定性增强     

固氪物态方程的关联量子化学计算

运用多体展开理论和量子化学方法—–超分子单、双(三重)激发微扰处理耦合簇CCSD(T)方法,首次系统地计算了面心立方固氪在较宽(从晶格平衡位置到体积压缩率超过3倍)区间的两体、三体和四体相互作用对结合能和物态方程的贡献大小,包括Hartree-Fock自洽场项和范德瓦耳斯长程关联作用项;并与实验数据进行比较.结果表明,在考虑到两体、三体、四体相互作用能后,多体展开理论以及CCSD(T)方法对平衡位置结合能测量数据0—130 GPa整个研究区间的实验物态方程数据都做出令人满意的描述.     

中能重离子反应微观理论与应用

本文总结了研究中能重离子反应的主要微观理论,包括Boltzmann-Uehling-Uhle-nbeck(BUU)方程及量子分子动力学方法(QMD)。我们首先介绍这些理论的物理基础、数学推导和数值求解方法,然后集中介绍它们在研究重离子反应中的集体流现象、粒子产生以及多重散裂等方面的应用,我们将特别强调实验可观察量与核物质状态方程间的联系。     

中能重离子反应微观理论与应用

本文总结了研究中能重离子反应的主要微观理论,包括Boltzmann-Uehling-Uhle-nbeck(BUU)方程及量子分子动力学方法(QMD)。我们首先介绍这些理论的物理基础、数学推导和数值求解方法,然后集中介绍它们在研究重离子反应中的集体流现象、粒子产生以及多重散裂等方面的应用,我们将特别强调实验可观察量与核物质状态方程间的联系。     

重离子碰撞两体关联输运理论──Ⅰ.理论模型:相干态表象的构造与基本运动方程

应用相干态表象和两体关联动力学,建立了非相对论重离子碰撞两体关联输运理论TBCTT(Two—Body Correlation Transport Theory).这一理论包括了时间相关的平均场.泡利阻塞和两体碰撞效应,它能够描述重离子碰撞过程中非均匀核物质的演化、涨落效应和碎裂的动力学形成.     

Particle-particle correlation and fluctuations in non-equilibrium Fermi/Bose gases

A theory of fluctuations and correlations in non-equilibrium Fermi and Bose gases is developed. A specific quantum correlation is predicted in non-equilibrium collisional quasi-classical gases, created by collisions between particles. The expressions for correlation sources entering the equation for an equal-time two-particle correlation function are obtained and analyzed. The expressions are valid for arbitrary particle-particle interaction potentials. The possibility of display of the quantum correlation in the macroscopic characteristics of fluctuation phenomena in non-equilibrium gases (e.g., current fluctuations in semiconductors) is discussed. A comparison with correlations in a Lorentz gas is made.     

相关光谱法在光纤气体传感中的应用

本文提出了一种新的基于相关光谱法的光纤气体检测方案，在对传统相关光谱检测理论进行详细分析的基础上，提出了一种新的实现方案。这种方法继承了传统相关光谱法在信号检测的时候所具有的高选择性的优点，在调制方法上有创新，使得利用宽带光源（LED）在检测甲烷和乙炔等在近红外具有梳状吸收峰的气体时变得简单易行。本文对该系统进行了详尽的理论分析，在合理选择器材的基础上实际构建和调试了一个基于光谱检测的光纤甲烷气体检测系统。文中给出了存在干扰气体情况下检测结果。实践中干扰气体引起的信号变化相当于甲烷信号变化的7．4％，已经达到国际上相关光谱检测现有的最佳值。     

Pseudogap phenomena in ultracold atomic Fermi gases

The pairing and superfluid phenomena in a two-component ultracold atomic Fermi gas is an analogue of Cooper pairing and superconductivity in an electron system, in particular, the high Tc superconductors. Owing to the various tunable parameters that have been made accessible experimentally in recent years, atomic Fermi gases can be explored as a prototype or quantum sinmlator of superconductors. It is hoped that, utilizing such an analogy, the study of atomic Fermi gases may shed light to the mysteries of high Tc superconductivity. One obstacle to the ultimate understand- ing of high Tc superconductivity, from day one of its discovery, is the anomalous yet widespread pseudogap phenomena, for which a consensus is yet to be reached within the physics comnnmity, after over 27 years of intensive research efforts. In this article, we shall review the progress in the study of pseudogap phenomena in atomic Fermi gases in terms of both theoretical understanding and experimental observations. We show that there is strong, unambiguous evidence for the existence of a pseudogap in strongly interacting Fermi gases. In this context, we shall present a pairing fuctuation theory of the pseudogap physics and show that it is indeed a strong candidate theory for high Tc superconductivity.     

Dynamical chaos in the Lorentz lattice gas

This paper provides an introduction to the applications of dynamical systems theory to nonequilibrium statistical mechanics, in particular to a study of nonequilibrium phenomena in Lorentz lattice gases with stochastic collision rules. Using simple arguments, based upon discussions in the mathematical literature, we show that such lattice gases belong to the category of dynamical systems with positive Lyapunov exponents. This is accomplished by showing how such systems can be expressed in terms of continuous phase space variables. Expressions for the Lyapunov exponent of a one-dimensional Lorentz lattice gas with periodic boundaries are derived. Other quantities of interest for the theory of irreversible processes are discussed.     

Macroscopic spin and charge transport theory

According to the general principle of non-equilibrium thermodynamics, we propose a set of macroscopic transport equations for the spin transport and the charge transport. In particular, the spin torque is introduced as a generalized `current density' to describe the phenomena associated with the spin non-conservation in a unified framework. The Einstein relations and the Onsager relations between different transport phenomena are established. Specifically, the spin transport properties of the isotropic non-magnetic and the isotropic magnetic two-dimensional electron gases are fully described by using this theory, in which only the macroscopic-spin-related transport phenomena allowed by the symmetry of the system are taken into account.     

Coherent transients in gases

A great variety of coherent transient processes in atomic and molecular gases is investigated. The degeneracy with respect to magnetic sublevels, which is typical of working levels of atomic and molecular transitions in gases, leads to new phenomena. In particular, the non-Faraday rotation of the coherent-response polarization vector at the 0 ↔ 1 transition is investigated in the presence of the longitudinal magnetic field in the ¹⁷⁴Yb vapor for both photon echo and stimulated photon echo. A specific relaxation channel that involves the depolarizing collisions emerges in a gas due to the degeneracy of working levels. Such collisions are especially important for atoms and are also observed in molecules. The anisotropy of the depolarizing collisions leads to a new phenomenon of the collision photon echo, which is experimentally demonstrated for the 0 ↔ 1 transition in the ¹⁷⁴Yb mixtures with atomic buffers. The velocity-dependent relaxation rates are observed for various coherent phenomena in molecular gases. The coherent control of a few coherent transient processes is implemented.     

Not to Normal Order—Notes on the Kinetic Limit for Weakly Interacting Quantum Fluids

The derivation of the Nordheim-Boltzmann transport equation for weakly interacting quantum fluids is a longstanding problem in mathematical physics. Inspired by the method developed to handle classical dilute gases, a conventional approach is the use of the BBGKY hierarchy for the time-dependent reduced density matrices. In contrast, our contribution is motivated by the kinetic theory of the weakly nonlinear Schrödinger equation. The main observation is that the results obtained in the latter context carry over directly to weakly interacting quantum fluids provided one does not insist on normal order in the Duhamel expansion. We discuss the term by term convergence of the expansion and the equilibrium time correlation 〈a(t)^* a(0)〉.     

Microscopic and macroscopic calculations of one-body damping in fission

A microscopic method for calculating the damping of collective motion into intrinsic states is described. For a particular example, the excitation of neutron levels in the fission of ²³⁶U, the results of this method are compared with a simple semi-classical approach based on the kinetic theory of gases.     

稠密气体中的输运现象和方位势氩的粘滞率和热导率

建议用推广的恩斯柯克方程(14),讨论稠密气体中的输运现象。指出空间关联函数Y(r)可以从状态方程的维里展开求得。文中给出了计算方位势稠密气体的粘滞率和热导率的公式以及计算关联函数的方法。用得到的结果,计算了温度为173K和348K的氩的粘滞率和温度为183K和348K的氩的热导率。在高密度区,计算结果与实验测定的符合程度,较之现有理论,有明显的改进。 关键词：