Lieb–Thirring estimates for non-self-adjoint Schrödinger operators

DOI10.1063/1.2969028zbMath1152.81353arXiv0806.1393OpenAlexW3100237544MaRDI QIDQ5505040

Vincent Bruneau, El Maati Ouhabaz

Publication date: 23 January 2009

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0806.1393

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Linear symmetric and selfadjoint operators (unbounded) (47B25) General theory of partial differential operators (47F05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10)

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• Resonance free domains for non globally analytic potentials
• Lieb--Thirring bounds for complex Jacobi matrices
• Bounds on complex eigenvalues and resonances
• NON-SELF-ADJOINT DIFFERENTIAL OPERATORS
• Complex Scaling and the Distribution of Scattering Poles

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