Geodesic
On a method in scattering theory
Trudy Moskovskogo matematičeskogo obŝestva, Trudy Moskovskogo Matematicheskogo Obshchestva, Tome 72 (2011) no. 2, pp. 189-205

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We use the well-studied Friedrichs model to showcase a new method for proving the asymptotic completeness of two operators, which in our case are the Friedrichs operator $A$ and the operator obtained from $A$ by omitting the integral term. Technically, the problem is reduced to a detailed analysis of the Fredholm determinant and minor of an auxiliary integral operator. 
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     author = {E. R. Akchurin and R. A. Minlos},
     title = {On a method in scattering theory},
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E. R. Akchurin; R. A. Minlos. On a method in scattering theory. Trudy Moskovskogo matematičeskogo obŝestva, Trudy Moskovskogo Matematicheskogo Obshchestva, Tome 72 (2011) no. 2, pp. 189-205. http://geodesic.mathdoc.fr/item/MMO_2011_72_2_a0/