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math.SP2021
Absence of Embedded Eigenvalues for Non-Local Schrödinger Operators
Atsuhide Ishida, József Lőrinczi, Itaru Sasaki
We consider non-local Schrödinger operators with kinetic terms given by several different types of functions of the Laplacian and potentials decaying to zero at infinity, and deriv…
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.