指数余弦库仑屏蔽势的精确能谱

利用分析转移矩阵方法,对任意3维中心力场势的能谱进行了研究,得出了指数余弦库仑屏蔽势的本征能谱,并与其他方法给出的结果进行了相应比较.

描述介观持久电流环的纠缠态表象和角动量-相角量子化

通过建立纠缠态表象,给出了介观持久电流环的玻色子型相位算符与角动量算符,以实现介观持久电流环的角动量-相角量子化,并自然导出其本征能谱.最后引入角动量升降表象,发现电流环的角动量的增减对应着环中的电流增减.

大自旋量子相干振荡的标准量子力学理论

首先 ,概括文献上对宏观量子相干振荡的表述 ;其次 ,给出量子相干振荡的标准量子力学理论 ,它既适用于宏观系统 ,亦适用于微观和介观系统 ;最后 ,求解两种典型的大自旋系统的本征能谱 。

Six—Parameter Exponential—Type Potential and the Identity for the Exponential—Type Potentials

We propose a six-parameter exponential-type potential (SPEP), which has been shown to be a shape-invariant potential with a translation of parameters. For this reducible potential, the exact energy levels are obtained byusing the supersymmetric shape invariance technique. Choosing appropriate parameters, four classes of exponential-typepotentials and their exact energy spectra are reduced from the SPEP and a general energy level formula, respectively.Each class shows the identity except for the different definitions of parameters.