On the number of eigenvalues of the discrete one-dimensional Schrödinger operator with a complex potential

DOI10.1007/s13373-016-0093-2zbMath1377.81053OpenAlexW2557053792WikidataQ59611675 ScholiaQ59611675MaRDI QIDQ1682241

Artem Hulko

Publication date: 29 November 2017

Published in: Bulletin of Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13373-016-0093-2

zbMATH Keywords

complex potentialdiscrete Schrödingertotal number of eigenvalues

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Eigenvalue problems for linear operators (47A75) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Discrete version of topics in analysis (39A12) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (5)

Bounds for Schrödinger operators on the half-line perturbed by dissipative barriers ⋮ On the number of eigenvalues of the biharmonic operator on \(\mathbb{R}^3\) perturbed by a complex potential ⋮ On spatial conditioning of the spectrum of discrete random Schrödinger operators ⋮ On the number of eigenvalues of the discrete one-dimensional Dirac operator with a complex potential ⋮ Spectral enclosures for non-self-adjoint discrete Schrödinger operators

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