Estimates on complex eigenvalues for Dirac operators on the half-line

DOI10.1007/s00020-014-2146-9zbMath1293.81020arXiv1311.6773OpenAlexW2001553099MaRDI QIDQ2249219

Jean-Claude Cuenin

Publication date: 10 July 2014

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.6773

zbMATH Keywords

complex potentialsDirac operatornon-relativistic limitnon-selfadjoint operators

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Nonselfadjoint operator theory in quantum theory including creation and destruction operators (81Q12)

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Cites Work

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• Uniform Sobolev inequalities and unique continuation for second order constant coefficient differential operators
• Eigenvalue estimates for non-selfadjoint Dirac operators on the real line
• Bounds on complex eigenvalues and resonances
• A Sharp Bound on Eigenvalues of Schrödinger Operators on the Half-line with Complex-valued Potentials
• Lower Bounds and Isoperimetric Inequalities for Eigenvalues of the Schrödinger Equation
• Classical Fourier Analysis
• Modern Fourier Analysis
• Eigenvalue bounds for Schrödinger operators with complex potentials
• A restriction theorem for the Fourier transform

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