On the spectrum of certain noncommutative harmonic oscillators |
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| Authors: | Alberto Parmeggiani |
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| Institution: | (1) Department of Mathematics, University of Bologna, Piazza di Porta S.Donato 5, 40126 Bologna, Italy |
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| Abstract: | Abstract Some spectral properties of certain 2×2 globally elliptic systems of ordinary differential operators, a class of vector-valued
deformations of the classical harmonic oscillator here called noncommutative harmonic oscillators, will be described, with
special emphasis on the Poisson relation and clustering properties of the eigenvalues.
Keywords: Clustering theorems, Periodic trajectories, Poisson relations, Noncommutative harmonic oscillators |
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