The asymptotics of eigenfunctions of the absolutely continuous spectrum. The scattering problem of three one-dimensional quantum particles

DOI10.1007/s10958-019-04566-6zbMath1435.81230OpenAlexW2987827789MaRDI QIDQ2307905

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

Publication date: 25 March 2020

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

Full work available at URL: https://doi.org/10.1007/s10958-019-04566-6

Mathematics Subject Classification ID

(n)-body potential quantum scattering theory (81U10) (S)-matrix theory, etc. in quantum theory (81U20)

Related Items (1)

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

Cites Work

• Spectral analysis of N-body Schrödinger operators
• Absence of singular continuous spectrum for certain self-adjoint operators
• 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
• Asymptotic behavior of eigenfunctions of the three-particle Schrödinger operator. II. Charged one-dimensional particles
• New approach to numerical computation of the eigenfunctions of the continuous spectrum of three-particle Schrödinger operator: I. One-dimensional particles, short-range pair potentials
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