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math.SP2020
Another Application of Dilation Analytic Method for Complex Lieb--Thirring Type Estimates
Norihiro Someyama
We consider non-self-adjoint Schrödinger operators (resp. ) acting in , , with dilation analytic complex…
math.SP2019
Bounds and Gaps of Positive Eigenvalues of Magnetic Schrödinger Operators with No or Robin Boundary Conditions
Norihiro Someyama
We consider magnetic Schrödinger operators on a bounded region with the smooth boundary in Euclidean space . In reference to the result from Weyl's…
math.SP2016
Number of Eigenvalues of Non-self-adjoint Schrödinger Operators with Dilation Analytic Complex Potentials
Norihiro Someyama
In this paper, we give Lieb-Thirring type inequalities for isolated eigenvalues of -dimensional non-selfadjoint Schrödinger operators with complex-valued and dilation analytic p…