Bound states for a kind of relativistic non-harmonic oscillator systems

Li Ning; Ju Guo-Xing; Ren Zhong-Zhou

doi:10.7498/aps.54.2520

Abstract
For a three-dimensional non-harmonic oscillator potential 12r2+A2r 2, the s-wave bound solutions of both Dirac equation and Klein-Gordon equation are giv en when the scalar potential is equal to the vector potential. We find that the radial component equations for both two-dimensional Dirac equation and three-dimensional one are the same when the scalar potential equals to the vector potenti al, and the corresponding s-wave bound solutions for the two-dimensional system are also obtained.

Keywords:
non-harmonic oscillator potential /

Klein-Gordon equation /

Dirac equation /

bound states
Authors and contacts
Li Ning¹,

Ju Guo-Xing¹,

Ren Zhong-Zhou²

(1)南京大学物理系，南京 210008; (2)南京大学物理系，南京 210008;兰州重离子加速器国家实验室原子核理论中心，兰州 730000
References

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Vol. 54, Issue 6 - 2005-03-20

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