节点文献
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
【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 .对于不同文献作者的不同处理予以分析和澄清
【Abstract】 A rigorous solution of Schr*idinger 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;
类角动量方法;
广义湮没算符;
广义产生算符;
本征值谱;
本征态;
【Key words】 isotonic oscillator; generalized annihilation operator; generalized creation operator; pseudo-angular-momentum;
【Key words】 isotonic oscillator; generalized annihilation operator; generalized creation operator; pseudo-angular-momentum;
- 【文献出处】 物理学报 ,Acta Physica Sinica , 编辑部邮箱 ,2001年12期
- 【分类号】O321
- 【被引频次】12
- 【下载频次】52