Constant magnetic field and 2d non-commutative inverted oscillator
arXiv:hep-th/0301227 · doi:10.1103/PhysRevD.67.105014
Abstract
We consider a two-dimensional non-commutative inverted oscillator in the presence of a constant magnetic field, coupled to the system in a ``symplectic'' and ``Poisson'' way. We show that it has a discrete energy spectrum for some value of the magnetic field.
7 pages, LaTeX file, no figures, PACS number: 03.65.-w
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- Hyperboloid, instanton, oscillator
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- Deformed "Commutative" Chern - Simons System
- Inverse square problem and so(2,1) symmetry in noncommutative space