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math-ph2009
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…
math-ph2009
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…
math-ph2007★ 1 cited
On Asymptotic Stability of Solitary Waves in a Nonlinear Schrödinger Equation
V. Buslaev, A. Komech, E. Kopylova +1
The long-time asymptotics is analyzed for finite energy solutions of the 1D Schrödinger equation coupled to a nonlinear oscillator. The coupled system is invariant with respect to…