https://doi.org/10.1140/epjp/i2016-16212-6
Regular Article
Wigner function for Klein-Gordon oscillator in commutative and noncommutative spaces
Physics Department, Semnan University, Semnan, Iran
* e-mail: s.hassanabadi@yahoo.com
Received:
20
August
2015
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
