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Identity for the Exponential-Type Molecule Potentials and the Supersymmetry Shape Invariance*

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© International Academic Publishers
, , Citation Jia Chun-Sheng et al 2001 Commun. Theor. Phys. 36 641 DOI 10.1088/0253-6102/36/6/641

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1 State Key Laboratory of Oil and Gas Reservoir Geology and Exploitation, Southwest Petroleum Institute, Nanchong 637001, Sichuan Province, China

2 Department of Computer Science, Sichuan Teacher's College, Nanchong 637002, Sichuan Province, China

3 Graduate School, Southwest Petroleum Institute, Nanchong 637001, Sichuan Province, China

Dates

  1. Received 9 March 2001
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0253-6102/36/6/641

Abstract

The identity and the supersymmetry shape invariance for a class of exponential-type molecule potentials are studied by introducing a deformed five-parameter exponential-type potential (DFPEP) and via the multi-parameter deformations. It has been shown that the DFPEP is a shape-invariant potential with a translation of parameters. By making use of the shape invariance approach, the exact energy levels are determined for the bound states with zero angular momentum. A class of molecule potentials and their exact energy spectra for the zero angular momentum states are reduced from the DFPEP and a general energy spectrum formula, respectively. The interrelations for some molecule potentials are also discussed.

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Footnotes

  • * 

    The project supported by the Visiting Scholar Foundation of the Key Laboratory in the University, The Ministry of Education of China

10.1088/0253-6102/36/6/641