中国物理B ›› 2004, Vol. 13 ›› Issue (2): 144-146.doi: 10.1088/1009-1963/13/2/004

• GENERAL • 上一篇    下一篇

The supersymmetric WKB approximation for Hartmann potential

陈刚   

  1. Department of Physics, Shaoxing College of Arts and Sciences, Shaoxing 312000, China
  • 收稿日期:2003-04-25 修回日期:2003-05-27 出版日期:2005-07-06 发布日期:2005-07-06
  • 基金资助:
    Project supported by the Science Research Program from Education Bureau of Zhejiang Province, China (Grant No 20031116).

The supersymmetric WKB approximation for Hartmann potential

Chen Gang (陈刚)   

  1. Department of Physics, Shaoxing College of Arts and Sciences, Shaoxing 312000, China
  • Received:2003-04-25 Revised:2003-05-27 Online:2005-07-06 Published:2005-07-06
  • Supported by:
    Project supported by the Science Research Program from Education Bureau of Zhejiang Province, China (Grant No 20031116).

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摘要： Using the method of supersymmetric WKB approximation, the energy spectrum of some noncentral separable potentials can be exactly obtained in r and θ dimensions. We take the Hartmann potential as an important example for its validation, and the result is consistent with that obtained by using the supersymmetric quantum mechanics and shape invariance.

Abstract: Using the method of supersymmetric WKB approximation, the energy spectrum of some noncentral separable potentials can be exactly obtained in r and θ dimensions. We take the Hartmann potential as an important example for its validation, and the result is consistent with that obtained by using the supersymmetric quantum mechanics and shape invariance.

Key words: Hartmann potential, energy spectrum, supersymmetric WKB approximation

中图分类号:  (Quantum mechanics)

  • 03.65.-w
31.15.-p (Calculations and mathematical techniques in atomic and molecular physics)