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math-ph2012★ 7 cited
Note on the spectrum of discrete Schrödinger operators
Fumio Hiroshima, Itaru Sasaki, Tomoyuki Shirai +1
The spectrum of discrete Schrödinger operator on the -dimensional lattice is considered, where denotes the discrete Laplacian and a delta function with mass at a s…
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.