二维各向同性谐振子几种解的比较  

Comparison Between Several Kinds of Solutions for Two dimensional Homogeneous Harmonic Oscillators

作　　者：郝剑红[1,2] 黄湘友[1,2] 

机构地区：[1]石家庄师专物理系 [2]北京大学物理系

出　　处：《量子光学学报》1998年第1期49-56,共8页Journal of Quantum Optics

摘　　要：在二维各向同性谐振子中，除哈密顿量外还有三个独立的守恒量。因此，这体系有三种定态解。这三种解中有两种是大家熟知的。这第三种解在本文给出。这三种本征解描述三种不同的系综。应用中根据什么考虑在三种解中选择一种在本文中也作了讨论。In two dimensional homogenous harmonic oscillators, except for Hamiltonian there are still three independent constant observables. Therefore, there are three kinds of stationary solutions for the system. Two of solutions are well known. The third kind of solutions is given . These three solutions describe three different kinds of ensembles. In applications the consideration how to choose one among the three kinds of solutions is also discussed.

关 键 词：二维谐振子 定态解 系综 各向同性 波函数 

分 类 号：O413[理学—理论物理] O431[理学—物理]