The relativistic bound states for a new ring-shaped harmonic oscillator
Zhou Yan(周燕)b) and Guo Jian-You(郭建友)a)†
aSchool of Physics and Material Science, Anhui University, Hefei 230039, China; bDepartment of Physics, Anhui Radio and Television University, Hefei 230022, China
Abstract In this paper a new ring-shaped harmonic oscillator for spin 1/2 particles is studied, and the corresponding eigenfunctions and eigenenergies are obtained by solving the Dirac equation with equal mixture of vector and scalar potentials. Several particular cases such as the ring-shaped non-spherical harmonic oscillator, the ring-shaped harmonic oscillator, non-spherical harmonic oscillator, and spherical harmonic oscillator are also discussed.
Received: 29 January 2007
Revised: 28 April 2007
Accepted manuscript online:
Fund: Project supported by the National
Natural Science Foundation of China (Grant Nos 10475001 and
10675001), the Program for New Century Excellent Talents in
University of China (Grant No NCET-05-0558), the Program for
Excellent Talents in Anhui Province University, and the Education
Committee Foundation of Anhui Province (Grant No 2006KJ259B).}
\\\hs*{.8mm}$^\dag$Corresponding author.
Cite this article:
Zhou Yan(周燕) and Guo Jian-You(郭建友) The relativistic bound states for a new ring-shaped harmonic oscillator 2008 Chin. Phys. B 17 380
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