6 citations · 10 across the 9 of their papers we have counts for
9 papers
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…
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…
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
On the leading term of asymptotics of the like-charged quantum particles scattering problem solution
Y. Y. Koptelov, S. B. Levin
An ansatz describing in terms of formal asymptotic decompositions a leading term of asymptotics of the three-dimensional like-charged quantum particles scattering problem solut…
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…
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
V. S. Buslaev, S. B. Levin, P. Neittaanmäki +1
Basing on analogy between the three-body scattering problem and the diffraction problem of the plane wave (for the case of the short range pair potentials) by the system of six hal…