Days on Diffraction

On continuous spectrum eigenfunctions asymptotics of three three-dimensional unlike-charged quantum particles scattering problem

Alexander Mikhajlovich Budylin, Ya. Yu. Koptelov, S. B. Levin

Published Jun 1, 2016• 1 citation

Abstract

Developing the diffraction approach, we study the most interesting and also most complicated case of scattering problem of three three-dimensional unlike-charged quantum particles.

DOI: 10.1109/dd.2016.7756820

Related papers

The Asymptotics of Eigenfunctions of the Absolutely Continuous Spectrum. The Scattering Problem of Three One-Dimensional Quantum Particles

Ilnur Vil'evich Baibulov, Alexander Mikhajlovich Budylin, S. B. Levin

Journal of Mathematical SciencesNov 8, 20191 citation

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

S. B. Levin

Journal of Mathematical SciencesOct 3, 20176 citations

A system of three three-dimensional charged quantum particles: Asymptotic behavior of the eigenfunctions of the continuous spectrum at infinity

V. S. Buslaev, S. B. Levin

Functional Analysis and Its ApplicationsApr 1, 201212 citations

The system of three three-dimensional charged quantum particles: asymptotic behavior of the eigenfunctions of the continuous spectrum at infinity (II)

V. S. Buslaev, S. B. Levin

To our knowledge there are no complete results expressed in terms of eigenfunctions (even not strictly proved mathematically) related to the system of three or more charged quantum particles. For the system of the three such identical particles we suggest the asymptotic formula describing the behavior of eigenfunctions at infinity in configuration space.

arXiv:1111.5841Nov 24, 20110 citations

To the Issue of Justification of the Absolutely Continuous Spectrum Eigenfunctions Asymptotics in the Problem of Three One-Dimensional Short-Range Quantum Particles with Repulsion

Alexander Mikhajlovich Budylin, S. B. Levin

The justification of the absolutely continuous spectrum eigenfunctions asymptotics in the problem of three one-Dimensional short-range quantum particles with repulsion has been done.

arXiv:1702.03029Feb 10, 20170 citations

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

Ilnur Vil'evich Baibulov, Alexander Mikhajlovich Budylin, S. B. Levin

Journal of Mathematical SciencesJan 7, 20210 citations