Acta Scientiarum Naturalium Universitatis Pekinensis

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Mapping of the Hulthén Potential intoPoschl-Teller Ⅰ Potential under Point Canonical Transformation

QIAN Shangwu1, GU Zhiyu2, HUANG Bowen2   

  1. 1Physics Department, Peking University, Beijing, 100871; 2Physics Department, Capital Normal University, Beijing, 100037
  • Received:1999-10-21 Online:2000-09-20 Published:2000-09-20

在点正则变换下赫耳顿势映射至潘歇-推劳Ⅰ势

钱尚武1,顾之雨2, 黄博文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: By the method of mapping of shape invariant potentials under point canonical transformations, the bound state spectra and eigenfunctions of the Hulthén potential from the known results of Poschl-Teller Ⅰ potential were found.

Key words: supersymmetric quantum mechanics, shape invariant potential, Hulthén potential, Poschl-Teller Ⅰ potential, point canonical transformation

摘要: 利用在点正则变换下形不变势的映射方法,我们从潘歇-推劳Ⅰ势的已知结果求得了赫耳顿势的束缚态能谱与本征函数。

关键词: 超对称量子力学, 形不变势, 赫耳顿势, 潘歇-推劳Ⅰ势, 点正则变换

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