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20062013
most citedNote on the spectrum of discrete Schrödinger operators

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math.SP2012

Multiplicity of the lowest eigenvalue of non-commuatative harmonic oscillators

Fumio Hiroshima, Itaru Sasaki

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 αand βin some region.