Harmonic oscillator in a background magnetic field in noncommutative quantum phase-space

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 ti...

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Veröffentlicht in:Europhysics letters 2009-06, Vol.86 (5), p.51001
Hauptverfasser: Ben Geloun, J, Gangopadhyay, Sunandan, Scholtz, F. G
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:0295-5075
1286-4854
DOI:10.1209/0295-5075/86/51001