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Quantum Simulation Open Quantum Systems Decoherence Quantum State Preparation Representation

Schrodinger Operators with Non-Symmetric Zero-Range Potentials

arXiv

Authors: A. Grod, S. Kuzhel

Year

2013

Paper ID

32591

Status

Preprint

Abstract Read

~2 min

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Abstract

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.

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Non-self-adjoint Schrodinger operators A which correspond to non-symmetric zero-range potentials are investigated.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1309.5482 [2] arXiv https://arxiv.org/abs/1309.5482 [3] Publisher https://arxiv.org/abs/1309.5482

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