On justification of the asymptotics of eigenfunctions of the absolutely continuous spectrum in the problem of three one-dimensional short-range quantum particles with repulsion

DOI10.1007/s10958-019-04258-1zbMath1419.81009OpenAlexW2933464213MaRDI QIDQ2314341

A. M. Budylin, S. B. Levin, I. V. Baibulov

Publication date: 22 July 2019

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-019-04258-1

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Spectrum, resolvent (47A10) (2)-body potential quantum scattering theory (81U05)

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Scattering problem of three one-dimensional quantum particles. Case of repulsive Coulomb pair potentials at large distances, On justification of the asymptotics of three one-dimensional short-range particles scattering problem solution for the processes \(3 \rightarrow 2\), The scattering problem of three one-dimensional short-range quantum particles involving bound states in pair subsystems. The coordinate asymptotics of the resolvent kernel and of the eigenfunctions of the absolutely continuous spectrum, The asymptotics of eigenfunctions of the absolutely continuous spectrum. The scattering problem of three one-dimensional quantum particles

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