Number of eigenvalues for dissipative Schrödinger operators under perturbation

DOI10.1016/j.matpur.2011.06.004zbMath1232.35040OpenAlexW2045026748MaRDI QIDQ650842

Xue Ping Wang

Publication date: 7 December 2011

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matpur.2011.06.004

zbMATH Keywords

complex eigenvaluesnon-selfadjoint operatorsdissipative Schrödinger operatorsthreshold resonance

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Perturbation theory of linear operators (47A55) Schrödinger operator, Schrödinger equation (35J10)

Related Items (12)

A simple criterion for the existence of nonreal eigenvalues for a class of 2D and 3D Pauli operators ⋮ Asymptotic completeness in dissipative scattering theory ⋮ On the spectral properties of non-selfadjoint discrete Schrödinger operators ⋮ Number of eigenvalues of non-self-adjoint Schrödinger operators with dilation analytic complex potentials ⋮ Spectral decomposition of some non-self-adjoint operators ⋮ Asymptotic behaviors of the eigenvalues of Schrödinger operator with critical potential ⋮ Generic nature of asymptotic completeness in dissipative scattering theory ⋮ Schrödinger operator with non-zero accumulation points of complex eigenvalues ⋮ Lieb-Thirring type inequalities for non-self-adjoint perturbations of magnetic Schrödinger operators ⋮ Time-decay of semigroups generated by dissipative Schrödinger operators ⋮ Large-time asymptotics of solutions to the Kramers-Fokker-Planck equation with a short-range potential ⋮ Scattering matrices for dissipative quantum systems

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