Kyushu Journal of Mathematics
Online ISSN : 1883-2032
Print ISSN : 1340-6116
ISSN-L : 1340-6116
MULTIPLICITY OF THE LOWEST EIGENVALUE OF NON-COMMUTATIVE HARMONIC OSCILLATORS
Fumio HIROSHIMA, Itaru SASAKI
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Keywords: lowest eigenvalue, multiplicity, non-commutative harmonic oscillator
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2013 Volume 67 Issue 2 Pages 355-366

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Abstract
The multiplicity of the lowest eigenvalue E of the so-called non-commutative harmonic oscillator Q(α, β) is studied. It is shown that E is simple for α and β in some region.
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© 2013 Faculty of Mathematics, Kyushu University
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