摘要
讨论运用超对称方法求解非相对论量子力学本征值问题时势满足的条件,当势具有形状不变性时,其本征值问题可根据超对称思想运用代数方法解出。对三维各向同性谐振子,进行了详细地讨论,并运用超对称方法,求出了三维谐振子的本征值。
Applying the supersymmetric method to solve the nonrelativistic quantum mechanics eigenvalue problem,the satisfied condition of potentials is stubied. If the potentials have the shape invariance, according to supersymmetric idea,the eigenvalue problem of nonrelativistic quantum mechanics can be solved by an algebraic method. A concrete three di-menssional harmonic oscillator potential and its eigenvalue are investigated in detail and obtained respectively using the supersymmetric method.
出处
《广西师范大学学报(自然科学版)》
CAS
1992年第4期56-60,共5页
Journal of Guangxi Normal University:Natural Science Edition
关键词
超对称
形状不变性
本征值
Supersymmctry
Shape invariance
eigenvalue problem