Klein-Gordon Oscillator in Noncommutative Phase Space Under a Uniform Magnetic Field |
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| Authors: | Email author" target="_blank">Yongjun?XiaoEmail author Zhengwen?Long Shaohong?Cai |
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| Institution: | (1) Department of Physics, Hangzhou Teachers College, Hangzhou, 310036, P.R. China;(2) Department of Physics, Shaanxi University of Technology, Hanzhong, 723001, P.R. China;(3) The Abdus Salam International Center for Theoretical Physics, Trieste, Italy |
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| Abstract: | Using a direct substitution method, Klein-Gordon oscillator in a uniform magnetic field is researched in the noncommutative
phase space (NCPS), the corresponding exact energy is obtained, and the analytic eigenfunction is presented in terms of the
confluent hypergeometric. It is shown that the Klein-Gordon oscillator in uniform magnetic field in noncommutative phase space
has the similar behaviors to the Landau problem in commutative space. In addition, the non-relativistic limit of the energy
spectrum is obtained. |
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