Wigner function for Klein-Gordon oscillator in commutative and noncommutative spaces

. 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 s...

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Published in:European physical journal plus Vol. 131; no. 6; p. 212
Main Authors: Hassanabadi, S., Ghominejad, M.
Format: Journal Article
Language:English
Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.06.2016
Springer Nature B.V
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ISSN:2190-5444, 2190-5444
Online Access:Get full text
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Summary:. 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.
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ISSN:2190-5444
2190-5444
DOI:10.1140/epjp/i2016-16212-6