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An initial boundary-value problem for the Schrödinger equation with long-range potential

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Publication:4732773
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DOI10.1098/rspa.1988.0065zbMath0683.35022OpenAlexW1997153227MaRDI QIDQ4732773

R.Leis, G. F. Roach

Publication date: 1988

Published in: Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.1988.0065


zbMATH Keywords

Schrödinger equationlimiting absorption principleCoulomb potentialwave operatorsexterior Dirichlet problemWhittaker functionsinitial boundary-value problem


Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order parabolic equations (35K20) Scattering theory for PDEs (35P25) Schrödinger operator, Schrödinger equation (35J10)


Related Items (3)

Unnamed Item ⋮ Outgoing solutions and radiation boundary conditions for the ideal atmospheric scalar wave equation in helioseismology ⋮ Novel bound states treatment of the two dimensional Schrödinger equation with pseudocentral potentials plus multiparameter noncentral potential




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