Geodesic
Scattering theory for a~class of two-particle operators of mathematical physics (the case of weak interaction)
Izvestiya. Mathematics , Tome 76 (2012) no. 6, pp. 1077-1109.

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We study the spectral properties of two-particle operators $A$ with weak interaction for spatial dimension $d\geqslant3$. We show that such an operator is unitarily equivalent to the two-particle operator $A_0$ obtained from $A$ by omitting the interaction terms. This is done using a special diagrammatic technique developed in this paper.
Keywords: two-particle operator, wave operators, Cook's method, stationary phase method, diagrams. 
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È. R. Akchurin; R. A. Minlos. Scattering theory for a~class of two-particle operators of mathematical physics (the case of weak interaction). Izvestiya. Mathematics , Tome 76 (2012) no. 6, pp. 1077-1109. http://geodesic.mathdoc.fr/item/IM2_2012_76_6_a1/

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