Scattering theory for a class of two-particle operators of mathematical physics (the case of weak interaction)
Эльдар Рашитович АкчуринM.?V.?Lomonosov Moscow State University, Faculty of Mechanics and Mathematics, Moscow, Russian FederationR. A. MinlosA. A. Kharkevich Institute for Information Transmission Problems, Russian Academy of Sciences, Moscow , Russia
2012en
ABI
Abstract
We study the spectral properties of two-particle operators with weak interaction for spatial dimension . We show that such an operator is unitarily equivalent to the two-particle operator obtained from by omitting the interaction terms. This is done using a special diagrammatic technique developed in this paper.
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