同调谐振子的变形  

Variants of isotonic oscillator

作　　者：李文博[1] 

机构地区：[1]北方交通大学物理系,北京100044

出　　处：《物理学报》2002年第3期547-553,共7页Acta Physica Sinica

摘　　要：实现了在保持本征值谱结构不变情况下同调谐振子的几种变形 .这些变形包括三维各向同性谐振子径向方程、开普勒径向方程、Morse势s态等问题 .每一个变形体系对应着同调参量g的确定取值 .同调谐振子有一定的普遍适应性 ,具有丰富的内容 .Several variants of isotonic oscillator which can keep the structure of eigenvalue spectra are realized. These include the radial equation of the three-dimensional isotropic harmonic oscillator, the radial equation of Kepler's problem, Kepler's problem in parabola coordinates, and s state problem of Morse potential. Each variant system corresponds to a definite value of the isotonic parameter g. Thus, the isotonic oscillator problem is a quite general problem and has substantial contents.

关 键 词：同调谐振子 同调参量 产生算符 湮没算符 变形 本征值谱结构 量子力学 

分 类 号：O321[理学—一般力学与力学基础]