12 citations · 13 across the 5 of their papers we have counts for
5 papers
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…
Averaging in scattering problems
Vladimir S. Buslaev, Alexey A. Pozharskii
We consider the scattering that is described by the equation $(-Δ_x + q(x,\frac{x}ε) - E)ψ= f(x), ψ= ψ(x,ε) \in \C, x \in \R^d, ε> 0, E > 0,$ where is a periodic function…
The scattering matrix and associated formulas in Hamiltonian mechanics
Vladimir Buslaev, Alexander Pushnitski
We survey the basic notions of scattering theory in Hamiltonian mechanics with a particular attention to the analogies with scattering theory in quantum mechanics. We discuss the s…
On the difference equations with periodic coefficients
Vladimir Buslaev, Alexander Fedotov
In this paper, we study entire solutions of the difference equation , , . In this equation, is a fixed positive paramet…