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Klein-Gordon Oscillator in Noncommutative Phase Space Under a Uniform Magnetic Field

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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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Authors and Affiliations

  1. Key Laboratory of Low-Dimensional Quantum Structures and Quantum Control of Ministry of Education, Department of Physics, Hunan Normal University, Changsha, 410081, China

    Yongjun Xiao

  2. Department of Physics, College of Science, Guizhou University, Guiyang, 550025, China

    Zhengwen Long

  3. Guizhou College of Finance and Economics, Guiyang, 550004, China

    Shaohong Cai

Authors
  1. Yongjun Xiao
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  2. Zhengwen Long
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  3. Shaohong Cai
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Correspondence to Yongjun Xiao.

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Xiao, Y., Long, Z. & Cai, S. Klein-Gordon Oscillator in Noncommutative Phase Space Under a Uniform Magnetic Field. Int J Theor Phys 50, 3105–3111 (2011). https://doi.org/10.1007/s10773-011-0811-1

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  • DOI: https://doi.org/10.1007/s10773-011-0811-1

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