Bound states of Klein-Gordon equation and Dirac equation for ring-shaped non-spherical oscillator scalar and vector potentials
Zhang Xue-Ao (张学骜)a, Chen Ke (陈柯)a, Duan Zheng-Lu (段正路)b
a College of Aerospace and Materials Engineering, National University of Defence Technology, Changsha 410073, China; b Department of Physics, Tsinghua University, Beijing 100084, China
Abstract Solving the Klein--Gordon equation and Dirac equation with ring-shaped non-spherical oscillator gives the exact bound state wavefunction and energy equation, and the relations between non-relativistic Schr?dinger equation, Klein--Gordon equation and Dirac equation with equal scalar and vector potentials.
Received: 07 April 2004
Revised: 15 May 2004
Accepted manuscript online:
PACS:
0365G
Cite this article:
Zhang Xue-Ao (张学骜), Chen Ke (陈柯), Duan Zheng-Lu (段正路) Bound states of Klein-Gordon equation and Dirac equation for ring-shaped non-spherical oscillator scalar and vector potentials 2005 Chinese Physics 14 42
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