3 papers
quant-ph2018
On asymptotic structure of three-body scattering states for the scattering problem of charged quantum particles
Alexandr Budylin, Yaroslav Koptelov, Sergey Levin +1
We study the quantum scattering problem of three three-dimensional charged particles involving pair potentials of Coulomb attraction in the framework of the diffraction approach. W…
math-ph2017
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
A. M. 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 don…
math-ph2015
To the question of the existence and uniqueness of the three one-dimensional quantum particles scattering problem solutions, interacting by finite repulsive pair potentials
A. M. Budylin, S. B. Levin
We announce the existence and uniqueness theorem for the scattering problem of three one-dimensional quantum particles interacting by repulsive finite pair potentials