类铍离子激发态的能量计算

采用多组态相互作用方法及Rayleigh- Ritz变分法,计算了类铍O4+离子1s22s2p3Po态的非相对论能量,并详细分析了如何选择质量最好的变分波函数.运用截断变分方法进一步饱和函数空间得到能量的改进量,并考虑相对论修正、质量极化效应等获得了相对论能量计算值.计算结果表明,此理论计算方法可得到高精度的能量计算值.     

氦原子及类氦离子基态能量的经验公式

通过对氦原子和类氦离子电离能数据的分析 ,找到了一个能够快速计算类氦体系基态能量的经验公式 ,验算了一些类氦离子 (Z=2— 1 5 )的基态能量 ,与实验测量值符合得很好。除了 Li 和 Be 的基态能量的相对偏差为 0 .4 46 %外 ,其他的都低于 0 .4 %。     

类氦离子2p3p3Pe双激发态等电子系列的能级和精细结构

采用Rayleigh-Ritz变分法及组态相互作用,并考虑相对论修正和质量极化效应,研究了类氦离子等电子系列(Z=2～16)双激发态2p3p3Pe的相对论能量和辐射跃迁波长,并计算了该系统的精细结构.计算的结果与Drake等人的理论计算符合得很好.     

类铍Ar^14＋和类镁Ar^6＋离子双激发态能级的计算

用相态相互作用方法计算了类铍Ａｒ＾１４＋离子双激发态１ｓ＾２３ｌ３ｌ＇和类镁Ａｒ＾６＋离子双激发态１ｓ＾２２ｓ＾２２ｐ＾６４ｌ４ｌ＇的能级。两个外层电子与内层原子实１ｓ＾２或１ｓ＾２２ｓ＾２２ｐ＾６电子的作用用模型势表不。Ａｒ＾１４＋的双激发态可用量子数Ｋ，Ｔ和Ａ标记，而Ａｒ＾６＋的某些组态却不能用上述量子数表示。     

类氦铝离子软X射线激光

通过一系列的数值计算，确定了实现类氦铝离子３ｄ＾１Ｄ２－２ｐ＾１Ｐ１跃迁激光增益的最佳等离子体条件，并提出了用辐射冷却的方法为实现所需的等离子体条件。     

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.     

Ar^1^6^＋离子双激发态的新量子数描述和跃迁规律

此文采用ＣＩ方法计算了类氦Ａｒ１６＋离子双激发态能级和波函数，并向ＤＥＳＢ（Ｄｏｕｂｌｙ－ｅｘｅｃｉｔｅｄｓｔａｔｅｓｂａｓｉｓ）做投影，求出表征这些双激发态的新量子数Ｋ、Ｔ和Ａ。计算和比较了初态ｎ（ｎ－１，０）ｎ＋１Ｓｅ的辐射和Ａｕｇｅｒ跃迁率，发现辐射跃迁随初态主量子数ｎ的变化是光滑的，而Ａｕｇｅｒ跃迁则随ｎ的变化是不光滑的。     

氦原子和类氦离子基态能量的变分计算及相对论修正

采用一个包含坐标伸缩系数的简单有效的变分波函数,同时考虑到核的运动,利用Mathematic a语言开发了一个用变分法计算三体问题的程序,对氦原子和类氦离子(H^-,He,Li ⁺,Be⁺⁺,B³⁺,C⁴⁺,N⁵⁺,O ⁶⁺)的非相对论基态能量和解析波 函数进行了变分计算.在此基础上,对非相对论哈密顿量进行相对论和辐射修正,并考虑到有 限核电荷半径的影响,得到了氦原子和类氦离子高精度的基态能量值. 关键词： 氦原子 类氦离子 变分法 基态能量 相对论修正     

类氧铥离子辐射跃迁几率和激发态寿命的GRASP计算

使用扩展的相对论多组态自洽场方法计算了类氧铥离子的精细结构能级，跃迁波长，自发辐射跃迁几率，受激辐射跃迁几率，振子强度和激发态寿命。从计算结果发现：在３ｐ－３ｓ跃迁中有４个跃迁很有可能实现粒子数反转而辐射激光。     

Darboux Transformation and Soliton Solutions for Inhomogeneous Coupled Nonlinear Schrodinger Equations with Symbolic Computation

With the aid of computation, we consider the variable-coefficient coupled nonlinear Schrodinger equations with the effects of group-velocity dispersion, self-phase modulation and cross-phase modulation, which have potential applications in the long-distance communication of two-pulse propagation in inhomogeneous optical fibers. Based on the obtained nonisospectral linear eigenvalue problems （i.e. Lax pair）, we construct the Darboux transformation for such a model to derive the optical soliton solutions. In addition, through the one- and two-soliton-like solutions, we graphically discuss the features of picosecond solitons in inhomogeneous optical fibers.     

Quantum Nonlocality and Generation of Multi-mode Schrodinger Cat States

We describe the Greenberger-Horne-Zeilinger (GHZ) paradox in the multi-mode Schroedinger cat states.We also show that the multi-mode cat states violate the Bell‘s inequality by an amount that grows exponentially with number of modes. The test of quantum nonlocality is based on parity measurement and displacement operation, which are experimentally feasible. We also describe a scheme for the generation of the cat states in cavity QED.     

在非线性J—C模型系统中制备“薛定谔猫态”

证明在含有克尔介质的双光子Ｊ－Ｃ模型系统中通过对原子的测量可以制备“薛定谔猫态”。选择适当的测量时间，原子初态及非线性系数，即可产生偶相干态，奇相干态和Ｙ－Ｓ相干态。     

N-Soliton Solutions of General Nonlinear Schrodinger Equation with Derivative

The bilinear equation of the genera/nonlinear Schrodinger equation with derivative （GDNLSE） and the N-soliton solutions are obtained through the dependent variable transformation and the Hirota method, respectively. The bilinear equation of the nonlinear Schrodinger equation with derivative （DNLSE） and its multisoliton solutions are given by reduction.     

Efficient Scheme for the Generation of Atomic Schrodinger Cat States in an Optical Cavity

An efficient scheme is proposed for the generation of atomic Schrodinger cat states in an optical cavity. Inthe scheme N three-level atoms are loaded in the optical cavity. Raman coupling of two ground states is achieved via alaser field and the cavity mode. The cavity mode is always in the vacuum state and the atoms have no probability ofbeing populated in the excited state. Thus, the scheme is insensitive to both the cavity decay and spontaneous emission.     

Solitary Wave Solutions of a Generalized Derivative Nonlinear Schrodinger Equation

With the aid of a class of nonlinear ordinary differential equation （ODE） and its various positive solutions, four types of exact solutions of the generalized derivative nonlinear Sehrodinger equation （GDNLSE） have been found out, which are the bell-type solitary wave solution, the algebraic solitary wave solution, the kink-type solitary wave solution and the sinusoidal traveling wave solution, provided that the coefficients of GDNLSE satisfy certain constraint conditions. For more general GDNLSE, the similar results are also given.     

Some Exact Solutions of Variable Coefficient Cubic-Quintic Nonlinear Schrodinger Equation with an External Potential

By constructing appropriate transformations and an extended elliptic sub-equation approach, we find some exact solutions of variable coefficient cubic-quintie nonlinear Schrodinger equation with an external potential, which include bell and kink profile solitary wave solutions, singular solutions, triangular periodic wave solutions and so on.     

Solutions of the Schrodinger Equation with Quantum Mechanical Gravitational Potential Plus Harmonic Oscillator Potential

The solutions of the Schrodinger equation with quantum mechanical gravitational potential plus harmonic oscillator potential have been presented using the parametric Nikiforov-Uvarov method. The bound state energy eigen values and the corresponding un-normalized eigen functions are obtained in terms of Laguerre polynomials. Also a special case of the potential has been considered and its energy eigen values are obtained.