Complete wave operators in nonselfadjoint Kato model of smooth perturbation theory

DOI10.1134/S1061920819010102zbMath1418.35104arXiv1711.02380OpenAlexW2964333423MaRDI QIDQ2424742

S. A. Stepin

Publication date: 25 June 2019

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

Full work available at URL: https://arxiv.org/abs/1711.02380

zbMATH Keywords

Schrödinger operatorwave operators

Mathematics Subject Classification ID

Schrödinger operator, Schrödinger equation (35J10)

Cites Work

• An upper bound for the number of eigenvalues of a non-self-adjoint Schrödinger operator
• A functional model of perturbation theory and its application to scattering theory
• Resonances in one dimension and Fredholm determinants
• Wave operators and similarity for some non-selfadjoint operators
• On the large perturbation by a class of non-selfadjoint operators
• Some non-selfadjoint operators
• Dissipative Schrödinger operator without a singular continuous spectrum
• On linear similarity of certain nonselfadjoint operators to selfadjoint operators and on the asymptotic behavior for 𝑡→∞ of the solution of a nonstationary Schrödinger equation
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