Geodesic
Wigner functions for the~Landau problem in noncommutative quantum mechanics
Teoretičeskaâ i matematičeskaâ fizika, Tome 167 (2011) no. 2, pp. 264-272

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We study the Wigner function in noncommutative quantum mechanics. By solving the time-independent Schrödinger equation on both a noncommutative space and a noncommutative phase space, we obtain the Wigner function for the Landau problem on those spaces.
Keywords: Wigner function, noncommutative quantum mechanics, Landau problem. 
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     author = {S. Dulat and Kang Li and Jianhua Wang},
     title = {Wigner functions for {the~Landau} problem in noncommutative quantum mechanics},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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S. Dulat; Kang Li; Jianhua Wang. Wigner functions for the~Landau problem in noncommutative quantum mechanics. Teoretičeskaâ i matematičeskaâ fizika, Tome 167 (2011) no. 2, pp. 264-272. http://geodesic.mathdoc.fr/item/TMF_2011_167_2_a7/