开普勒径向方程的赝角动量解法及其归一化本征态和相干态

用赝角动量方法直接求解球坐标下束缚态开普勒径向方程. 给出本征态的解析表达式，其中归一化问题比较特殊，需要格外细致；同时给出相应的相干态. 关键词： 开普勒径向方程 赝角动量方法 本征值谱 本征函数 相干态     

氢原子相干态

由Kustannheimo-Stiefel变换,可将量子力学中的氢原子问题化为带有约束条件的四维各向同性谐振子。在此基础上定义相干态,并证明力学量坐标和动量对相干态的平均,给出经典开普勒运动轨道。同时也讨论该相干态中的测不准关系式。 关键词：     

三粒子Calogero-Sutherland模型的相干态

利用赝角动量算符方法求解三粒子CSM(Calogero-Sutherland Model)的类径向方程,给出本征态和相干态的解析表达式. 关键词： 三粒子Calogero-Sutherland模型 赝角动量算符方法 相干态     

相干态是a^—1的本征态码

对“谐振子产生算符和湮没算符的逆算符”一中的一个结论提出不同的看法，我们证明，相干态（Ｚ）并不是湮没算符算符ａ＾－１的本征态，ａ＾－１│Ｚ）实际上是一个完全不同于│Ｚ）的新量子态。     

对于"相干态是a-1的本征态吗"一文的答复

回答了“相干态是ａ＾－１的本征态码”这一问题，指出ａ＾－１│Ｚ）＝Ｚ＾－１│Ｚ）必须在围道积分意义下来理解。     

相干态是a-1的本征态吗

对"谐振子产生算符和湮没算符的逆算符"一文中的一个结论提出不同的看法.我们证明,相干态|Z〉并不是湮没算符逆算符a-1的本征态,a-1|Z〉实际上是一个完全不同于|Z〉的新量子态.     

一种氢原子相干态

引入了氢原子的一种多分量相干态,并讨论了在该相干态中的测不准关系和压缩性质. 关键词：     

氢原子相干态研究的进展与启示

近年来的理论及实验研究都表明，在实空间中，期望用氢原子定态波函数的叠加以得到满足最小测不准关系的同时又不发生扩散的相干态是不可能的但若把三维氢原子体系映射到另外的空间，则可以发现氢原子体系可以存在真正的相干态，可这种相干态都不随物理的时间而是随另一个“虚假的时间”因子而演化。     

氢原子在相干态下的Kepler轨道

通过把库仑问题转换成线性谐振子,可以建立二维和三维氢原子不扩散的相干态,力学量在这些相干态中的平均值给出物理空间中Kepler轨道的运动。在变换为谐振子的空间中引入的非物理时间变量起了重要作用。     

Dirac类氢原子的超对称方法研究

应用超对称方法研究了Ｄｉｒａｃ类氢原子问题，不需繁琐的数学处理，得到和严格解法完全一致的能量本征值谱及相应的本征函数。     

Representation of the coherent state for a beam splitter operator and its applications

A beam splitter operator is a very important linear device in the field of quantum optics and quantum information. It can not only be used to prepare complete representations of quantum mechanics, entangled state representation, but it can also be used to simulate the dissipative environment of quantum systems. In this paper, by combining the transform relation of the beam splitter operator and the technique of integration within the product of the operator, we present the coherent state representation of the operator and the corresponding normal ordering form. Based on this, we consider the applications of the coherent state representation of the beam splitter operator, such as deriving some operator identities and entangled state representation preparation with continuous-discrete variables. Furthermore, we extend our investigation to two single and two-mode cascaded beam splitter operators, giving the corresponding coherent state representation and its normal ordering form. In addition, the application of a beam splitter to prepare entangled states in quantum teleportation is further investigated, and the fidelity is discussed. The above results provide good theoretical value in the fields of quantum optics and quantum information.     

基于双模相干-纠缠态表象的算符恒等式构造法

利用最近引进的相干-纠缠态|x,α〉表象和有序算符内的积分技术,给出了关于双模光场正交分量（X₁+X₂）/2^1/2和参数化的正交分量（μX₁+νX₂）/λ的函数的若干正规乘积展开式,这对于研究场的高阶压缩行为和构建广义压缩态是有用的. 关键词： 双模相干-纠缠态 算符恒等式 有序算符内的积分技术     

Coherent and Squeezed States for Light in Homogeneous Conducting Linear Media by an Invariant Operator Method

With the choice of Coulomb gauge, we investigated coherent state and squeezed state of the light propagating through homogeneious conducting linear media with no charge density using quantum results of the LR invariant operator method. We described coherent and squeezed properties of electric and magnetic fields. The fields in coherent and squeezed states are decayed exponentially with time due to the conductivity of the media. We studied probability density of the coherent wave packet and the highly squeezed wave packets. The uncertainty relation between the two orthogonal phase amplitudes, â₁ and â₂, in coherent state is same as the uncertainty relation in vacuum number state. The envelope of the relative noise in coherent state alternately become large and small with time and position. The uncertainty relation between canonical variables are varied depending on the value of conductivity in squeezed state, but not lowered below /2 which is quantum-mechanically acceptable minimum uncertainty.     

三维两粒子Calogero-Sutherland模型的代数解法

利用赝角动量算符方法给出了三维两粒子CSM的算符体系,研究了三维两粒子CSM谱空间上的对称性.得到归一化的本征函数和Glauber相干态的解析表达式.     

Alternative Scheme for Generation of Atomic SchrSdinger Cat States and Entangled Coherent States in an Optical Cavity

We propose an alternative scheme for generation of atomic Schrodinger cat states in an optical cavity. In the scheme the atoms are always populated in the two ground states and the cavity remains in the vacuum state. Therefore, the scheme is insensitive to the atomic spontaneous emission and cavity decay. The scheme may be generalized to the deterministic generation of entangled coherent states for two atomic samples. In contrast with the previously proposed schemes of [Commun. Theor. Phys. 40 （2003） 103 and Chin. our scheme is greatly shortened and thus the deeoherence can Phys. B 18 （2009） 1045], the required interaction time in be effectively suppressed.     

用相干态函数计算谐振子任意次幂坐标算符的矩阵元

利用相干态函数的性质来求解谐振子任意次幂坐标算符的矩阵元,与其他文献比较,本文的方法有自己的优点.     

谐振子任意次幂坐标算符矩阵元的一种计算方法

利用相干态和正规乘积对谐振子任意次幂坐标算符X^1矩阵元进行了讨论,导出了计算X^1矩阵元的一般公式,其结果与《大学物理》发表的两篇文章一致,为处理谐振子的微扰问题提供了一种新的方法。     

Probabilistic teleportation of an arbitrary pure state of two atoms

In the context of microwave cavity QED, this paper proposes a new scheme for teleportation of an arbitrary pure state of two atoms. The scheme is very different from the previous ones which achieve the integrated state measurement, it deals in a probabilistic but simplified way. In the scheme, no additional atoms are involved and thus only two atoms are required to be detected. The scheme can also be used for the teleportation of arbitrary pure states of many atoms or two-mode cavities.