相位Landau态

引入Landau系统(带电粒子在垂直于均匀磁场平面内的运动)的相位本征态，利用这些本征态可方便地描述带电粒子圆周运动，且所得结果与规范的选择无关. 关键词： Landau系统 相位本征态     

非耦合压缩Landau态

引入Landau体系(带电粒子在垂直于均匀磁场的平面内的运动)的非耦合压缩态.利用这些压缩态可方便地描述带电粒子的圆周运动，且所得结果与规范的选择无关. 关键词：     

耦合压缩Landau态

引入Landau体系（带电粒子在垂直于均匀磁场平面内的运动）的耦合压缩态．这类耦合压缩态所给出的关于带电粒子圆周运动的信息与非耦合压缩Landau态所给出的信息存在很大的差异． 关键词：     

均匀磁场中带电粒子的非定态波函数

取圆心坐标算符和初始机械动量算符为力学量完全集，给出均匀磁场中带电粒子的非定态波函数．     

圆心的确定方法归类分析

带电粒子垂直进入匀强磁场中做匀速圆周运动与现代科技联系紧密，越来越受到高考命题专家的青睐。就历年高考的结果来看，学生在此类题上得分率并不太高，究其原因，学生不能科学、准确地画出粒子运动轨迹图，不能从表示粒子运动的几何图中找到半径、圆心角与其他几何量的关系。本文就圆周运动中圆心的确定方法进行归类分析，以便于同学们从总体上把握。     

小议竖直平面内圆周运动的临界问题

物体做圆周运动时,切向有分力产生切向加速度,与物体速度方向在同一直线上,它改变物体速度的大小;指向圆心的分力向心力产生向心加速度．与速度方向垂直且指向圆心,它改变速度的方向;同时具有向心加速度和切向加速度的圆周运动就是变速圆周运动．在竖直面内的圆周运动是典型的变速圆周运动．对于圆周运动物体通过最高点和最低点的情况．     

锁模激光脉冲序列的量子理论

本文发展了一种描述锁模激光脉冲序列输出的全量子理论.采用“相干叠加”模型,即认为从多模相干态光场不同模吸收光子后的原子态是相干的,耦合形成相干组合态.考虑锁模激光各模式间相位关系.用多模相干态描述光场,应用预解算符和投影算符推导演化算符,使本方法可统一处理锁模激光脉冲序列输出及原子的共振多光子过程.     

带电粒子在复合场中匀速圆周运动的求解分析

讨论了带电粒子在复合场中匀速圆周运动的解题思路及方法.     

用“ 独孤四剑”破解几何关系 求半径和圆心角

介绍了用解三角形的方法处理带电粒子在有界磁场中的圆周运动     

作圆周运动的带电粒子在电场中的运动

详细讨论作圆周运动的带电粒子在均匀电场中的运动,得到清晰的运动图象。     

Orbital and epicyclic motion of charged test particles around non-rotating Einstein-Æther black holes

The study of charged test particle dynamics in the combined black hole gravitational field and magnetic field around it could provide important theoretical insight into astrophysical processes around such compact object. We have explored the orbital and epicyclic motion of charged test particles in the background of non-rotating Einstein-Æther black holes in the presence of external uniform magnetic field. We numerically integrate the equations of motion and analyze the trajectories of the charged test particles. We examined the stability of circular orbits using effective potential technique and study the characteristics of innermost stable circular orbits. We analyze the key features of quasi-harmonic oscillations of charged test particles nearby the stable circular orbits in an equatorial plane of the black hole, and investigate the radial profiles of the frequencies of latitudinal as well as radial harmonic oscillations in dependence on the strength of magnetic field, mass of the black hole and dimensionless coupling constants of the theory. We demonstrate that the magnetic field and dimensionless parameters of the theory have strong influence on charged particle motion around Einstein-Æther black holes.     

Nonclassical properties of odd and even elliptical states

As a generalization of the optical circular states, elliptical states which are quantum superposition of coherent states on an ellipse in the α plane are constructed. The statistical properties of the states are investigated by using sub-Poissonian photon statistics, quadrature squeezing, Wigner function and phase distribution. It is shown that the elliptical states exhibit stronger quadrature squeezing. The interference fringes between the coherent states form the elliptic annuli of Fock states in the Wigner function picture. The phase distribution is no longer uniform as the circular states. An experimental scheme is proposed for generating equidistant coherent-state superpositions on an ellipse for the motion of the center of mass of a trapped ion.     

Coherent Landau states with gauge invariance

Coherent states for the Landau system (planar charged particle moving in a uniform magnetic field) are developed. It is convenient to use these states to describe the circular motion of the charged particle. The results obtained do not depend on gauges.     

Charged particle coherent states in tomographic probability representation

The symplectic tomograms of coherent states of a charged particle moving in a constant uniform magnetic field are obtained in explicit form. The tomograms are shown to coincide with normal probability distributions of two random variables. The means and dispersions of the variables are found and expressed in terms of means and dispersions of the charged particle coordinates and momenta. The characteristic function of the tomographic probability distribution is found. The center of mass tomogram of the coherent state of charge in magnetic field is also found and the relation of the symplectic tomogram and the center of mass tomogram is established.     

Photon Statistics of the Micromaser with Ultre Cold Λ-Type Three-Level Atoms

Coupled squeezed states for the Landau system (planar charged particle moving in a uniform magnetic field)are built.These coupled squeezed states adn decoupled squeezed Landau states give some information about the circjlar motion of charged particles resprctively.     

Coherent states of a particle in a magnetic field and the Stieltjes moment problem

A solution to a version of the Stieltjes moment problem is presented. Using this solution, we construct a family of coherent states of a charged particle in a uniform magnetic field. We prove that these states form an overcomplete set that is normalized and resolves the unity. By the help of these coherent states we construct the Fock-Bergmann representation related to the particle quantization. This quantization procedure takes into account a circle topology of the classical motion.     

Motion of charged particles in a spacetime of a five dimensional rotating black hole in a magnetic field

We study the effect of an external magnetic field on the stability of circular motion around a five dimensional Myers–Perry metric. Using the Hamilton–Jacobi formalism we derive the effective potential for the radial motion of charged particles around a five dimensional rotating black hole in a uniform magnetic field. We show that there are stable circular orbits around a five dimensional rotating black hole immersed in a uniform magnetic field.