Eigenvalue estimates for non-selfadjoint Dirac operators on the real line

DOI10.1007/s00023-013-0259-3zbMath1287.81050arXiv1207.6584OpenAlexW3104939685MaRDI QIDQ2448270

Jean-Claude Cuenin, Christiane Tretter, A. A. Laptev

Publication date: 30 April 2014

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.6584

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

• Nonselfadjoint operators, infinite determinants, and some applications
• Lieb-Thirring inequalities for Schrödinger operators with complex-valued potentials
• Fractal upper bounds on the density of semiclassical resonances
• Eigenvalue estimates for Schrödinger operators with complex potentials
• Holomorphic families of Dirac operators
• Non-self-adjoint perturbation of the continuous spectrum of the Dirac operator
• The complex scaling method for Dirac resonances
• Classes of linear operators. Vol. I
• Wave operators and similarity for some non-selfadjoint operators
• Spectral analysis of Darboux transformations for the focusing NLS hierarchy
• Bounds on complex eigenvalues and resonances
• Estimates for eigenvalues of the Schrödinger operator with a complex potential
• BLOCK-DIAGONALIZATION OF OPERATORS WITH GAPS, WITH APPLICATIONS TO DIRAC OPERATORS
• Eigenvalue bounds for Schrödinger operators with complex potentials
• Lieb–Thirring estimates for non-self-adjoint Schrödinger operators
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