Journal of Astrophysics & Aerospace Technology

On three three-dimensional charged quantum particles scattering problem with attraction in pair subsystems

S. B. Levin

Published Dec 2, 2017• 0 citations

Related papers

Scattering Problem of Three One-Dimensional Quantum Particles. Case of Repulsive Coulomb Pair Potentials at Large Distances

Alexander Mikhajlovich Budylin, S. B. Levin

Journal of Mathematical SciencesDec 1, 20230 citations

Diffraction Approach in the Scattering Problem for Three Charged Quantum Particles

S. B. Levin

Mathematical NotesOct 1, 20202 citations

Description of pair potentials for which the scattering in a quantum system of three one-dimensional particles is free of diffraction effects

V. S. Buslaev, S. P. Merkur′ev, S. P. Salikov

Journal of Mathematical SciencesFeb 1, 19834 citations

Asymptotic model for 2 → 2(3) and 3 → 2(3) scattering in the problem of three one-dimensional quantum particles with short-range pair potentials.

Alexander S. Bagmutov, Ya. Yu. Koptelov, Victor O. Toropov +1 more

Abstract In this paper, we construct an asymptotic model for scattering of few one-dimensional quantum particles with finite attractive pair potentials supporting bound states. For scattering processes 2 → 2(3) and 3 → 2(3), numerical analysis is performed.

Journal of Physics Conference SeriesJun 1, 20250 citations

Quantum Scattering of the Bound Pair on the Third Particle in One-Dimensional Case

Alexander Mikhajlovich Budylin, S. B. Levin

Abstract In this paper, the problem of scattering 2 → 2(3) of three 1D quantum particles with pair short-range attraction potentials is considered in the framework of the diffraction approach. The solution to the scattering problem is constructed in terms of the solution to the model nonhomogeneous boundary-value problem in a circle of a large radius with radiation conditions on the boundary. Possible physical applications of the constructed model are studied.

Journal of Experimental and Theoretical PhysicsNov 1, 20220 citations

Mathematical problems of the quantum theory of scattering for a three-particle system

L. D. Faddeev

Jan 1, 196437 citations