Perturbation theory in the scattering problem for a three-particle system

DOI10.1134/S0040577917040055zbMath1369.81097OpenAlexW2611930918MaRDI QIDQ2014517

V. A. Gradusov, S. L. Yakovlev

Publication date: 25 August 2017

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0040577917040055

zbMATH Keywords

perturbation theorycontinuous spectrumthree-particle scattering problem

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) (n)-body potential quantum scattering theory (81U10) Perturbation theories for operators and differential equations in quantum theory (81Q15)

Cites Work

• Faddeev-Merkuriev equations for resonances in three-body Coulombic systems
• Coordinate asymptotic behavior of the solution of the scattering problem for the Schrödinger equation
• Faddeev differential equations as a spectral problem for a nonsymmetric operator
• Quantum \(N\)-body problem: matrix structures and equations
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