Abstract In spherical polar coordinates, double ring-shaped oscillator potentials have supersymmetry and shape invariance for $\theta$ and r coordinates. Exact bound state solutions of Klein—Gordon equation with equal double ring-shaped oscillator scalar and vector potentials are obtained. The normalized angular wavefunction expressed in terms of Jacobi polynomials and the normalized radial wavefunction expressed in terms of the Laguerre polynomials are presented. Energy spectrum equations are obtained.
Received: 20 May 2004
Revised: 06 October 2004
Accepted manuscript online:
Fund: Project supported by the Natural Science Foundation of the Education Bureau of Jiangsu Province, China (Grant No 02KJB140007), and the Special Foundation of Yancheng Teachers College, China.
Cite this article:
Lu Fa-Lin (陆法林), Chen Chang-Yuan (陈昌远), Sun Dong-Sheng (孙东升) Bound states of Klein—Gordon equation for double ring-shaped oscillator scalar and vector potentials 2005 Chinese Physics 14 463
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