变形谐振子势的能谱方程

大学物理 ›› 2011, Vol. 30 ›› Issue (8): 59-59.

变形谐振子势的能谱方程

朱燕邱为钢

湖州师范学院理学院,浙江湖州313000

出版日期:2011-08-25 发布日期:2011-08-20

Energy spectrum equation of deformed harmonic oscillator potential

Online:2011-08-25 Published:2011-08-20

摘要/Abstract

摘要： 讨论了3种变形谐振子势：左右两边不同参数的谐振子势、左边方形势加右边谐振子势和谐振子势中间加δ势中的能量本征态函数.这些函数都可以由厄米函数表示.由波函数及其一次导数在原点的衔接条件,得到了能谱方程.

关键词: 变形谐振子势, 厄米函数, 能谱方程

Abstract: Three kinds of deformed harmonic oscillator potentials are given： left and right part with different parameters,left square potential and right harmonic oscillator potential,harmonic oscillator potential plus delta potential.The eigen-state of these potentials can be expressed in terms of the Hermite function.The energy spectrum equations are derived from the matching condition of wave function and its first derivative at origin.

Key words: deformed harmonic oscillator potential, Hermite function, energy spectrum equation

中图分类号:

O143.1

朱燕邱为钢. 变形谐振子势的能谱方程[J]. 大学物理, 2011, 30(8): 59-59.