具有运动边界与含时频率的一类环状非球谐振子模型势的精确解(英文)  

Exact solution for a kind of ring-shaped non-harmonic oscillator model potential with moving boundary and time-dependent frequency

作　　者：卫高峰[1] 白宏刚[2] 段晓勇[3] 王红英[1] 曹欣伟[1] 

机构地区：[1]西安文理学院物理系,西安710065 [2]武警工程学院基础部,西安710086 [3]嘉兴学院电气工程系,嘉兴314001

出　　处：《原子与分子物理学报》2010年第2期239-243,共5页Journal of Atomic and Molecular Physics

基　　金：西安文理学院专项科研基金(KYC200801)

摘　　要：在球坐标系中研究了一类具有运动边界与含时频率的环状非球谐振子模型势的Schrdinger方程.应用坐标变换将运动边界转化为固定边界,从而获得了系统的精确波函数.研究表明,系统的角向波函数是一个推广的缔合勒让德多项式,径向波函数可以表示为贝赛耳函数.最后我们简单讨论了指数运动边界和指数含时频率这一特殊情况.Using the coordinate transformation transforming the moving boundary conditions to the fixed boundary conditions, we study the exact solution to the Schrodinger equation for a kind of ring-shaped non-harmonic oscillator model potential with moving boundaries and time-dependent frequency in the spherical coordinates. The general associated-Legendre-type angular wave function and the Bessel-type radial wave function are obtained. The special case for exponential-type boundaries and corresponding time-dependent frequency is also studied breifly.

关 键 词：一类环状非球谐振子模型势 运动边界 含时频率 精确解 

分 类 号：O413.1[理学—理论物理]