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Perturbation theory in the scattering problem for a three-particle system. (English. Russian original) Zbl 1369.81097

Theor. Math. Phys. 191, No. 1, 524-536 (2017); translation from Teor. Mat. Fiz. 191, No. 1, 63-77 (2017).
Summary: We consider the scattering problem for a system of three nonrelativistic particles in the case of energies below the threshold of the system breakup into three free particles. We assume that the interaction potentials can be represented as a sum of two terms, one of which is a small perturbation. We develop a perturbation theory scheme for solving the scattering problem based on the three-particle Faddeev equations.

MSC:

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