Scattering and bound states for nonselfadjoint Schrödinger operator

2013/06/27 by С. А. Степин, Stepin, S. A.
Mathematics · #Spectral Theory in Mathematical Physics #Numerical methods in inverse problems #Differential Equations and Boundary Problems

paper · pdf · doi:10.48550/arxiv.1306.6457

Abstract

Spectral components of one-dimensional Schrödinger operator with complex potential are investigated. An effective upper bound for the total number of eigenvalues and spectral singularities is established. For dissipative Schrödinger operator sufficient condition is found which guarantees the absence of singular component in the continuous spectrum and spectral decomposition is exposed.

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