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

Abstract

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.

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Cited by in corpus (5)

• Distribution theory for Schrödinger's integral equation
• Dirac lattices, zero-range potentials and self adjoint extension
• Two-parametric ${\delta }^{\prime }$-interactions: approximation by Schrödinger operators with localized rank-two perturbations
• Solvable quantum lattices with nonlocal non-Hermitian endpoint interactions
• Bound states emerging from below the continuum in a solvable PT-symmetric discrete Schroedinger equation