Diffraction approach in the scattering problem for three charged quantum particles

DOI10.1134/S0001434620090163zbMath1451.81368OpenAlexW3097897558MaRDI QIDQ2210397

S. B. Levin

Publication date: 6 November 2020

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434620090163

zbMATH Keywords

eigenfunctionsscattering problemquantum particlesspecrum

Mathematics Subject Classification ID

Asymptotic distributions of eigenvalues in context of PDEs (35P20) Electromagnetic interaction; quantum electrodynamics (81V10) (n)-body potential quantum scattering theory (81U10) Scattering theory of linear operators (47A40) Inelastic and multichannel quantum scattering (81U35)

Related Items (1)

Solution of the quantum three-body problem in a neighborhood of the three-particle forward scattering direction

Cites Work

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• A system of three three-dimensional charged quantum particles: asymptotic behavior of the eigenfunctions of the continuous spectrum at infinity
• Description of pair potentials for which the scattering in a quantum system of three one-dimensional particles is free of diffraction effects
• On the asymptotic behavior of eigenfunctions of the continuous spectrum at infinity in configuration space for the system of three three-dimensional like-charged quantum particles
• Some aspects of the scattering problem for a system of three charged particles
• Asymptotic behavior of eigenfunctions of the three-particle Schrödinger operator. II. Charged one-dimensional particles

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