双参数变形量子代数SU(1,1)_(q,s)的Nodvik实现和Holstein—Primakoff实现

给出了双参数变形量子代数SU(1,1)_q,s的Nodvik实现和Holstein-Primakoff实现,并给出了SU(1,1)_q,s,和双参数变形振子的变形映射.     

利用SU（2）_（q，s）量子代数的两参数变形振子实现讨论SU（2）_（q，s）相干态

利用ＳＵ（２）ｑ，ｓ量子代数的两参数变形振子实现构造出与Ｐｅｒｅｌｏｍｏｖ相干态形式不同的ＳＵ（２）ｑ，ｓ相干态．证明了ＳＵ（２）ｑ，ｓ，量子代数的表示基是正交的，并讨论了它的相干态的归一性和完备性．指出ＳＵ（２）ｑ，ｓ相干态的相干性受参数ｑ，ｓ的影响，它比单参数变形ＳＵ（２）ｑ相干态更具一般性．     

双参数变形多模玻色算符的代数结构及其应用(Ⅱ)

给出了双参数变形量子代数ＳＵ（２）ｑ，ｓ和ＳＵ（１，１）ｑ，ｓ的多模Ｊｏｒｄａｎ－Ｓｃｈｗｉｎｇｅｒ实现。     

（2s＋1）维希尔伯特空间q—畸变谐振子奇相干态的光学性质

构造了(2s 1)维希尔伯特（Hilbert)q-畸变谐振子奇相干态,讨论了其量子统计特性。发现（2s 1)维希尔伯特空间q-畸变谐振子相干态与通常无限维空间的奇q-相干态和奇相干态有明显不同的压缩及反聚束效应。     

关于双参数量子代数SUqs(2)和双参数形变谐振子的若干结果

构造了双参数形变量子代数SU_qs(2)的Holstein-Primakoff实现和Nodvik实现,并给出了量子代数SU_qs(2)和双参数形变谐振子的形变映射.     

双参数变形量子Lie超代数SL(q,s)(2/1)的不可约表示

给出双参数变形量子Lie超代数SL_(?)(2/1)的不可约表示 关键词：     

双参数变形多模玻色算符的代数结构及其应用(Ⅱ)

给出了双参数变形量子代数SU(2)_q,s和SU(1,1)_q,s的多模Jordan-Schwinger实现.     

q变形带电Fermion相干态和q’变形的SU（3）电荷、超荷Fermion相干态

利用ｑ变形的Ｆｅｒｍｉｏｎ振子代数讨论了ｑ变形的带电Ｆｅｒｍｉｏｎ相干态和ｑ变形的ＳＵ（３）电荷、超荷Ｆｅｒｍｉｏｎ相干态．利用ｑ－ＦｅｒｍｉｏｎＦｏｃｋ空间中的基失的完闭性，得到上述两种相干态的具体表现形式．将ｑ变形的结果与普通结果比较发现：在变形参数ｑ＝１时，ｑ变形的带电Ｆｅｒｍｉｏｎ相干态和ＳＵ（３）电荷、超荷Ｆｅｒｍｉｏｎ相干态自然回到普通的带电Ｆｅｒｍｉｏｎ相干态和ＳＵ（３）电荷、超荷Ｆｅｒｍｉｏｎ相干态．     

PauI阱的含时广义SU（1,1）相干态

利用参量相关的Ｂｏｇｏｌｉｕｂｏｖ变换公式,导出描写Ｐａｕｌ阱系统含时哈密顿的精确本征态－－广义ＳＵ（１,１）相干态,讨论了关于这些态的粒子数涨落和平方振幅压缩特性。     

两参数变形量子代数SU(1,1)q,s的相干态及其性质

利用SU(1,1)_q,s量子代数的两参数变形振子构造出归一化的SU(1,1)_q,s相干态,证明了SU(1,1)_q,s量子代数的表示基是正交的,并讨论了它的相干态的归一性和完备性。指出(SU(1,1)_q,s相干态的相干性受参数q、s的影响。     

双参数变形光子相位算符与双参数变形量子群SU(1,1)q,s相干态

本文构造了双参数变形光子相位算符,研究了它与双参数变形量子群SU(1,1)q,s相干态之间的关系,得到了一些新的结果.     

SU(1,1)群的非齐次逆微分实现

利用玻色振子的逆算符构造了SU(1,1)群的生成元和不可约表示的相干态,导出了SU(1,1)群的非齐次逆微分实现.     

Realizations of Multimode Quantum Group SU(1,1)q,s

By virtue of the two-parameter deformedmultimode bosonic oscillator, the Nodvik andHolstein-Primakoff realizations of the two-parameterdeformed multimode quantum group SU(1,1)_q,sare derived. The deformed mappings between the multimode quantum groupSU(1,1)_q,s and the two-parameter deformedmultimode bosonic oscillators are alsopresented.     

Quantum Dynamical Algebra SU(1,1) in One-Dimensional Exactly Solvable Potentials

In this paper, we establish the underlying quantum dynamical algebra SU(1,1) for some one-dimensional exactly solvable potentials by using the shift operators method. The connection between SU(1,1) algebra and the radial Hamiltionian problems is also discussed. PACS numbers: 03.65.Ge     

EPR Entangled States for Bipartite Kinematics and New Bosonic Representation of SU(2) Algebra

We find that the Einstein-Podolsky-Rosen (EPR) entangled state representation describing bipartite kinematics is closely related to a new Bose operator realization of SU(2) Lie algebra. By virtue of the new realization some Hamiltonian eigenfunction equation can be directly converted to the generalized confluent equation in the EPR entangled state representation and its solution is obtainable. This thus provides a new approach for studying dynamics of angular momentum systems.     

EPR Entangled States for Bipartite Kinematics and New Bosonic Representation of SU（2） Algebra

We find that the Einstein-Podolsky-Rosen (EPR) entangled state representation descr/bing bipartite kinematics is closely related to a new Bose operator realization of SU(2) Lie algebra. By virtue of the new realization some ttamiltonian eigenfunction equation can be directly converted to the generalized confluent equation in the EPR entangled state representation and its solution is obtainable. This thus provides a new approach for studying dynamics of angular momentum systems.