氦原子高激发态的塞曼效应

利用塞曼哈密顿的球张量形式以及塞曼哈密顿在耦合表象中的矩阵元公式,在考虑磁场二次项作用的基础上,研究了氦原子n3P(n=4,5)高激发态的塞曼效应,给出解析解,并绘出了塞曼能级分裂图.     

Normally-Ordered Time Evolution Operator for Mass-Varying Harmonic Oscillator and Wigner Function of Squeezed Number State

For investigating dynamic evolution of a mass-varying harmonic oscillator we constitute a ket-bra integration operator in coherent state representation and then perform this integral by virtue of the technique of integration within an ordered product of operators. The normally ordered time evolution operator is thus obtained. We then derive the Wigner function of u（t）｜n,〉, where ｜n〉 is a Fock state, which exhibits a generalized squeezing, the squeezing effect is related to the varying mass with time.     

关于厄米特多项式的新微分公式及其在量子光学中的应用

基于量子光学厄米特多项式和Weyl对应规则,该文给出了一类双变量厄米特多项式的生成函数.考虑到Weyl编序的相似变换不变性特征,还得到了另一个厄米特多项式广义生成函数,这些生成函数能被用于研究量子光场的非经典特征.     

IEO方法在求解哈密顿量能谱中的应用

利用IEO方法,通过选取合适的不变本征算符,使之满足所谓的"本征算符方程",其本征值与体系的能隙对应;从而直接、方便地推导出体系的能谱.本文以有外场时双原子分子体系和光场非线性相互作用的两个哈密顿为例,介绍IEO方法在分子与原子物理中的应用.     

不同高径比下浮区晶体生长熔体内对流不稳定性分析

本文通过数值模拟的方法，研究了零重力条件下半浮区液桥内熔体热毛细对流的演化规律。在液桥的高度L和温差ΔT保持不变的情况下，通过改变液桥的半径R来改变液桥的高径比(Ar=L/R)。随着高径比Ar的变化，液桥内的对流表现出不同的流动特征。在Ar=0.5时，热毛细对流处于三维稳态；在Ar=1时，流场和温度场从稳态模式向非稳态周期多频振荡模式转变，它们之间的频率关系满足倍频关系(f_n=nf₁);在Ar=1.25时，监测点的速度振荡频率增大，表现为较小幅度的振荡模式，且温度振荡消失。     

Partial Trace Method for Deriving Density Operators of Light Field

With the help of technique of integration within an ordered product of operators we can fully display the partial trace method to deduce some new density operators of light field. The general form of single-mode density operator is derived in this way from a normalized two-mode generalized squeezed pure state density operator.     

Complex-Variable Fokker-Planck Equation Solved in Entangled State Representation

We lind that the Fokker-Planck equation in complex variables can be conveniently solved in the context of bipartite entangled state representation and its relationship with SU（2） Lie algebraic generators＇ new realization {（1/4）[（Q1 - Q2）^2 ＋ （P1＋ P2）^2], （1/4）[（Q1 ＋Q2）^2＋ （P1 - P2）^2], and -（i/2）（Q1P2 ＋ Q2P1）}, the quadratic combination of canonical operators.