A system of three three-dimensional charged quantum particles: asymptotic behavior of the eigenfunctions of the continuous spectrum at infinity

DOI10.1007/s10688-012-0020-6zbMath1272.81185arXiv1104.3358OpenAlexW2137747853MaRDI QIDQ366067

S. B. Levin, Vladimir S. Buslaev

Publication date: 11 September 2013

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1104.3358

zbMATH Keywords

partial differential equationsmathematical physicsquantum scattering theory in the system of three charged particles

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Asymptotic distributions of eigenvalues in context of PDEs (35P20) (n)-body potential quantum scattering theory (81U10) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Related Items

On the mathematical work of Vladimir Savel′evich Buslaev, On the asymptotic behavior of eigenfunctions of the continuous spectrum at infinity in configuration space for the system of three three-dimensional like-charged quantum particles, Solution of the quantum three-body problem in a neighborhood of the three-particle forward scattering direction, Diffraction approach in the scattering problem for three charged quantum particles, Some aspects of the scattering problem for a system of three charged particles

Cites Work

• 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
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