Complex Potentials: Bound States, Quantum Dynamics and Wave Operators

DOI10.1007/978-3-319-12145-1_18zbMath1332.34138arXiv1402.7186OpenAlexW1536546617MaRDI QIDQ3460768

S. A. Stepin

Publication date: 8 January 2016

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.7186

zbMATH Keywords

Schrödinger operatorpropagatorwave operatorsJost function

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) General spectral theory of ordinary differential operators (34L05) Perturbation theory of linear operators (47A55) General theory of ordinary differential operators (47E05) Scattering theory, inverse scattering involving ordinary differential operators (34L25) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (6)

Bounds for Schrödinger operators on the half-line perturbed by dissipative barriers ⋮ On the number of eigenvalues of the discrete one-dimensional Schrödinger operator with a complex potential ⋮ Lieb-Thirring and Jensen sums for non-self-adjoint Schrödinger operators on the half-line ⋮ Spectral inclusion and pollution for a class of dissipative perturbations ⋮ On the number of eigenvalues of the discrete one-dimensional Dirac operator with a complex potential ⋮ On the number of eigenvalues of Schrödinger operators with complex potentials

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