用赝角动量方法求解同调谐振子  

SOLVING THE EIGENVALUE EQUATION OF AN ISOTONIC OSCILLATOR BY PSEUDO-ANGULAR-MOMENTUM METHOD

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》2001年第12期2356-2362,共7页Acta Physica Sinica

摘　　要：采用赝角动量的方法研究了同调谐振子 (带有附加有心势垒项的谐振子 )的定态薛定谔方程的严格解 .详细讨论了有心势垒项的参量对于形成体系束缚定态的有效取值区域 ,及该参量的不同取值区域对能谱的影响 .给出了能谱的确切的全面表述和对应本征态的解析表达式 .A rigorous solution of Schrodinger equation of an isotonic oscillator is studied by pseudo-angular-momentum method. The effect of the parameter g in the centripetal potential barrier on the domain of effective values for formation of stationary bounded states and the effect of domain of the parameter g on the energy spectrum are discussed in detail. An appropriate and comprehensive formulation of the energy spectrum and analytic expressions of the corresponding eigenstates are presented. The different treatments in the literatures are clarified.

关 键 词：同调谐振子 赝角动量方法 广义湮没算符 广义产生算符 本征值谱 本征态 量子光学 薛定谔方程 

分 类 号：O321[理学—一般力学与力学基础]