Acta Scientiarum Naturalium Universitatis Pekinensis

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Separation of Variables Treatment of the Time-dependent Coulomb Potential and Time-dependent Hulthen Potential

QIAN Shangwu1, MIAO Chunhui1, XIE Guoqiang2, GU Zhiyu2   

  1. 1Physics Department, Peking University, Beijing, 100871; 2Physics Department, Capital Normal University, Beijing, 100037
  • Received:1996-05-15 Online:1997-05-20 Published:1997-05-20


钱尚武1, 缪春晖1, 谢国强2, 顾之雨2   

  1. 1北京大学物理学系,北京,100871; 2首都师范大学物理学系,北京,100037

Abstract: For treating time-dependent systems, a new method based on separation of variables and time-dependent redefinition of the spatial coordinate has been developed by C.J. Efthimiou and D. Spector. In this article, we apply it to obtain the wave-functions of the time-dependent Coulomb potential and the time-dependent Hulthen potential.

Key words: time-dependent system, separation of variables treatment, Coulomb potential, Hulthen potential, wave function

摘要: 为处理含时系统,C.J.Efthimiou与D.Spector提出了一种基于分离变量和空间坐标含时再定义的新方法。用该方法求得含时库仑势与含时赫耳顿势的波函数。

关键词: 含时系统, 分离变量处理法, 库仑势, 赫耳顿势, 波函数

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