Transactions of the Moscow Mathematical Society

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ISSN 1547-738X(e) ISSN 0077-1554(p)

On a method in scattering theory

Authors: È. R. Akchurin and R. A. Minlos
Translated by: V. E. Nazaikinskii
Original publication: Trudy Moskovskogo Matematicheskogo Obshchestva, tom 72 (2011), vypusk 2.
Journal: Trans. Moscow Math. Soc. 2011, 143-156
MSC (2010): Primary 47A40; Secondary 35P25, 35Q40
Posted: January 12, 2012
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Abstract: 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 and the operator obtained from 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.

References

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