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math-ph2015
Spectral analysis of a complex Schrödinger operator in the semiclassical limit
Yaniv Almog, Raphaël Henry
We consider the Dirichlet realization of the operator in the semi-classical limit , where is a smooth real potential with no critical points. For a one dimens…
math.SP2015★ 3 cited
Pseudospectra of the Schroedinger operator with a discontinuous complex potential
Raphael Henry, David Krejcirik
We study spectral properties of the Schroedinger operator with an imaginary sign potential on the real line. By constructing the resolvent kernel, we show that the pseudospectra of…