Magnetic fields in noncommutative quantum mechanics

Acatrinei C; Acatrinei C; Acatrinei C; Arnol'd V I; Bastos C; Bichl A A; Blank J; Bytsko A G; Cohen-Tannoudji C; Correa D H; Dadic I; Delduc F; Doplicher S; Duval C; F Delduc; F Gieres; Gazeau J-P; Gerstenhaber M; Grümm H R; Hancock J; Heisenberg W; Jackiw R; Klauder J R; M Lefrancois; Macris N; Madore J; Magro G; Marsden J E; Mezincescu L; Moyal J E; Pascual P; Pauli W; Q Duret; Reed M; Riccardi M; Rivasseau V; Rivelles V O; Scholtz F G; Seiberg N; Smailagic A; Sochichiu C; Sternheimer D; Suo B; Zachos C K

research

Magnetic fields in noncommutative quantum mechanics

Authors: Acatrinei C
Acatrinei C
Acatrinei C
Arnol'd V I
Bastos C
Bichl A A
Blank J
Bytsko A G
Cohen-Tannoudji C
Correa D H
Dadic I
Delduc F
Doplicher S
Duval C
F Delduc
F Gieres
Gazeau J-P
Gerstenhaber M
Grümm H R
Hancock J
Heisenberg W
Jackiw R
Klauder J R
M Lefrancois
Macris N
Madore J
Magro G
Marsden J E
Mezincescu L
Moyal J E
Pascual P
Pauli W
Q Duret
Reed M
Riccardi M
Rivasseau V
Rivelles V O
Scholtz F G
Seiberg N
Smailagic A
Sochichiu C
Sternheimer D
Suo B
Zachos C K
Publication date: 23 April 2007
Publisher: 'IOP Publishing'
Doi

Abstract

We discuss various descriptions of a quantum particle on noncommutative space in a (possibly non-constant) magnetic field. We have tried to present the basic facts in a unified and synthetic manner, and to clarify the relationship between various approaches and results that are scattered in the literature.Comment: Dedicated to the memory of Julius Wess. Work presented by F. Gieres at the conference `Non-commutative Geometry and Physics' (Orsay, April 2007