Chem. J. Chinese Universities ›› 2006, Vol. 27 ›› Issue (4): 684.

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Rigorous Solution of a Moving Particle with One-dimensional Central Potential V(q)=Bq2+A/q2(A, B>0) in Quantum Phase Space Representation

WEI Gong-Min 1,2, LU Li-Qiang1, LI Qian-Shu*   

  1. 1. The Institute for Chemical Physics, Beijing Institute of Technology, Beijing 100081, China;
    2. Department of  Physics, Capital Normal University, Beijing 100037, China
  • Received:2005-05-31 Online:2006-04-10 Published:2006-04-10
  • Contact: LI Qian-Shu,E-mail: qsli@bit.edu.cn

Abstract:

The eigenfunctions of the Schrdinger equation with the onedimensional central potential  V(q)=Bq2+A/q2(A, B>0) for a motion particle are solved within the framework of the quantum phase space representation established by Torres-Vega and Frederick. Then the quantum phase-space probability density functions are also discussed.

Key words: Torres-vega and Frederic quantum phase-space theory; Eigenfunction; Probability density functions

CLC Number: 

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