Volume 86, Number 5, June 2009
|Number of page(s)||4|
|Section||The Physics of Elementary Particles and Fields|
|Published online||09 June 2009|
Harmonic oscillator in a background magnetic field in noncommutative quantum phase-space
National Institute for Theoretical Physics - Private Bag X1, Matieland 7602, South Africa
2 International Chair of Mathematical Physics and Applications, ICMPA-UNESCO Chair 072 B.P. 50 Cotonou, Republic of Benin
3 Department of Physics, West Bengal State University - Barasat, India
Accepted: 12 May 2009
We solve explicitly the two-dimensional harmonic oscillator and the harmonic oscillator in a background magnetic field in noncommutative phase-space without making use of any type of representation. A key observation that we make is that for a specific choice of the noncommutative parameters, the time-reversal symmetry of the systems get restored since the energy spectrum becomes degenerate. This is in contrast to the noncommutative configuration space where the time-reversal symmetry of the harmonic oscillator is always broken.
PACS: 11.10.Nx – Noncommutative field theory
© EPLA, 2009
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