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Constant magnetic field and 2d non-commutative inverted oscillator

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Publication date
28 January 2003
Publisher
'American Physical Society (APS)'
Doi
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    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.Comment: 7 pages, LaTeX file, no figures, PACS number: 03.65.-

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