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\(\mathcal {P}\mathcal {T}\)-Symmetric Klein-Gordon Oscillator

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Abstract

Parity-time \((\mathcal {P}\mathcal {T})\) symmetric Klein-Gordon oscillator is presented using \(\mathcal {P}\mathcal {T}\)-symmetric minimal substitution. It is shown that wave equation is exactly solvable, and energy spectrum is the same as that of Hermitian Klein-Gordon oscillator presented by Bruce and Minning. Landau problem of \(\mathcal {P}\mathcal {T}\)-symmetric Klein-Gordon oscillator is discussed.

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  1. School of Physics and Optoelectronic Engineering, Guangdong University of Technology, Guangzhou, 510006, China

    Jian-Yuan Cheng

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  1. Jian-Yuan Cheng
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Correspondence to Jian-Yuan Cheng.

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Cheng, JY. \(\mathcal {P}\mathcal {T}\)-Symmetric Klein-Gordon Oscillator. Int J Theor Phys 50, 228–232 (2011). https://doi.org/10.1007/s10773-010-0512-1

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  • DOI: https://doi.org/10.1007/s10773-010-0512-1

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