arXiv subjects

A. Grod

Publications and source records attributed to A. Grod.

2 recordsLinked to original sources

arXiv2014

On S-matrix of Schrodinger Operators with Non-Symmetric Zero-Range Potentials

Non-self-adjoint Schrodinger operators which correspond to non-symmetric zero-range potentials are investigated. We show that various properties of these operators (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.

math-ph↗

arXiv2013

Schrodinger Operators with Non-Symmetric Zero-Range Potentials

Non-self-adjoint Schrodinger operators A which correspond to non-symmetric zero-range potentials are investigated. For a given A, the description of non-real eigenvalues, spectral singularities and exceptional points are obtained; the possibility of interpretation of A as a self-adjoint operator in a Krein space is studied, the problem of similarity of A to a self-adjoint operator in a Hilbert space is solved.

math-ph↗