Spectral representation for Schrödinger operators with long-range potentials

DOI10.1016/0022-1236(75)90048-8zbMath0315.35067OpenAlexW2073358401MaRDI QIDQ1221054

Teruo Ikebe

Publication date: 1975

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(75)90048-8

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Schrödinger operator, Schrödinger equation (35J10) Scattering theory of linear operators (47A40) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70)

Related Items

Unnamed Item, Spectral representation and scattering theory for the wave equation with two unbounded media, Fundamental solutions and eigenfunction expansions for Schrödinger operators. I: Fundamental solutions, Eigenfunction expansions for a class of differential operators, Completeness of modified wave operators for long-range potentials, On the long-range stationary wave operator, Eigenfunction expansions associated with the Schrödinger operators with long-range potentials, Propagation of states in dilation analytic potentials and asymptotic completeness, Die absolute Stetigkeit des positiven Spektrums der Schwingungsgleichung mit oszillierendem Hauptteil, On the completeness of modified wave operators, Forward and inverse scattering on manifolds with asymptotically cylindrical ends, Spectral representation for Schrödinger operators with long-range potentials. II: Perturbation by short-range potentials, Spectral analysis for perturbed Laplace operators in cylindrical domains, On solutions of the Schrödinger equation with radiation conditions at infinity: the long-range case, Stationary scattering theory for repulsive Hamiltonians

Cites Work

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