Wigner function for Klein-Gordon oscillator in commutative and noncommutative spaces
Physics Department, Semnan University, Semnan, Iran
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Revised: 19 April 2016
Accepted: 8 May 2016
Published online: 24 June 2016
As a quasi-probability distribution function in phase-space and a special representation of the density matrix, the Wigner function is of great significance in physics. In this work, the Wigner function for the Klein-Gordon oscillator is studied in commutative and noncommutative spaces. We first study the Wigner function for Klein-Gordon oscillator in commutative space then, by using a generalized Bopp's shift method, we obtain the corresponding Wigner function in noncommutative space. The additional terms in Wigner function on a NC space is related to the noncommutativity of space.
© Società Italiana di Fisica and Springer-Verlag Berlin Heidelberg, 2016