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arXiv:1403.6726 · Journal of Physics A Mathematical and Theoretical

On theS-matrix of Schrödinger operators with non-symmetric zero-range potentials

P A Cojuhari, A Grod, Sergiusz Kużel

Published Jul 18, 2014• 6 citations
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Abstract

Non-self-adjoint Schrödinger operators which correspond to non-symmetric zero-range potentials are investigated. We show that various properties of (eigenvalues, exceptional points, spectral singularities and the property of similarity to a self-adjoint operator) are completely determined by poles of the corresponding S -matrix.
DOI
10.1088/1751-8113/47/31/315201

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