
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
High Energy Physics - Theory, High Energy Physics - Theory (hep-th), FOS: Physical sciences
High Energy Physics - Theory, High Energy Physics - Theory (hep-th), FOS: Physical sciences
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