Long-range scattering in the position representation

DOI10.1063/1.532079zbMath0886.34072OpenAlexW2006006951MaRDI QIDQ4351624

Jan Dereziński, Christian Gérard

Publication date: 28 August 1997

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

Full work available at URL: https://doi.org/10.1063/1.532079

zbMATH Keywords

asymptotic completenesslong-range time-dependent potentialsposition-type wave operators

Mathematics Subject Classification ID

(n)-body potential quantum scattering theory (81U10) Scattering theory, inverse scattering involving ordinary differential operators (34L25)

Related Items (13)

LONG RANGE SCATTERING AND MODIFIED WAVE OPERATORS FOR SOME HARTREE TYPE EQUATIONS I ⋮ Quantum Scattering for Potentials Independent of |x|: Asymptotic Completeness for High and Low Energies ⋮ Unnamed Item ⋮ Existence and nonexistence of a ground state for the massless Nelson model under binding condition ⋮ Asymptotic completeness in nonrelativistic quantum field theory ⋮ Spiraling attractors and quantum dynamics for a class of long-range magnetic fields ⋮ Classical global solutions for a class of Hamilton-Jacobi equations ⋮ Asymptotic completeness for \(N\)-body quantum systems with long-range interactions in a time-periodic electric field ⋮ An Evolutions Equation as the WKB Correction in Long-Time Asymptotics of Schrödinger Dynamics ⋮ Scattering theory for two-body quantum systems with singular potentials in a time-periodic electric field ⋮ Electromagnetic gauge choice for scattering of Schrödinger particle ⋮ Long-range potential scattering: Converting long-range potential to short-range potential by tortoise coordinate ⋮ Transfer matrix for long-range potentials

Cites Work

• Asymptotic completeness for N-body short-range quantum systems: A new proof
• The N-particle scattering problem: asymptotic completeness for short- range systems
• Wave operators for the Schrödinger equation
• Absence of singular continuous spectrum for certain self-adjoint operators
• Asymptotic completeness for quantum mechanical potential scattering. I: Short range potentials
• Asymptotic completeness for quantum-mechanical potential scattering. II: singular and long-range potentials

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