Isotropic representation of the noncommutative 2D harmonic oscillator
- 19 April 2002
- journal article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 65 (10)
- https://doi.org/10.1103/physrevd.65.107701
Abstract
We show that 2D noncommutative harmonic oscillator has an isotropic representation in terms of commutative coordinates. The noncommutativity in the new mode, induces energy level splitting, and is equivalent to an external magnetic field effect. The equivalence of the spectra of the isotropic and anisotropic representation is traced back to the existence of SU(2) invariance of the noncommutative model.Comment: 15 pages, RevTex4, no figures; article format, improved version of the previous paper; new references and aknowledgements addeKeywords
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This publication has 15 references indexed in Scilit:
- Noncommutative field theoryReviews of Modern Physics, 2001
- Quantum mechanics on the noncommutative torusNuclear Physics B, 2001
- Quantum mechanics on a noncommutative brane in M(atrix) theoryPhysics Letters B, 2001
- Quantum mechanics on the noncommutative plane and spherePhysics Letters B, 2001
- NONLINEAR VACUUM PHENOMENA IN NONCOMMUTATIVE QEDInternational Journal of Modern Physics A, 2001
- Gauge theory on a quantum phase spacePhysics Letters B, 2001
- Quantum field theory on non-commutative space-times and the persistence of ultraviolet divergencesNuclear Physics B, 2000
- String theory and noncommutative geometryJournal of High Energy Physics, 1999
- DYNAMICS IN A NONCOMMUTATIVE PHASE SPACEInternational Journal of Modern Physics A, 1998
- Bound states of strings and p-branesNuclear Physics B, 1996