A note on the Schrödinger operator with a long-range potential

DOI10.1007/s11005-019-01200-zzbMath1433.34114arXiv1810.03112OpenAlexW2962770305MaRDI QIDQ2011189

Dimitri Yafaev

Publication date: 28 November 2019

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

Full work available at URL: https://arxiv.org/abs/1810.03112

zbMATH Keywords

Schrödinger equationlimiting absorption principleeigenfunction expansiondimension onemodified Green-Liouville ansatz

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) General spectral theory of ordinary differential operators (34L05) Scattering theory, inverse scattering involving ordinary differential operators (34L25)

Related Items

Algebraic structures and position-dependent mass Schrödinger equation from group entropy theory, Spectral analysis of Jacobi operators and asymptotic behavior of orthogonal polynomials, Semiclassical estimates for scattering on the real line, Asymptotic behavior of orthogonal polynomials. Singular critical case, Semiclassical asymptotic behavior of orthogonal polynomials, Outgoing modal solutions for Galbrun's equation in helioseismology, Asymptotic behavior of orthogonal polynomials without the Carleman condition

Cites Work

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• Dense point spectra of Schrödinger and Dirac operators
• On subordinacy and analysis of the spectrum of one-dimensional Schrödinger operators
• Wave operators for the Schrödinger equation
• Absence of singular continuous spectrum for certain self-adjoint operators
• The existence of wave operators in scattering theory
• The low energy scattering for slowly decreasing potentials