Article

Some spectral properties of a generalized Friedrichs model

Tulkin Kh RasulovBukhara State University, Physics and Mathematics FacultyKhalim Kh TurdievUniversity of Bern, Faculty of Science

DOAJ (DOAJ: Directory of Open Access Journals)repository2011en

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Abstract

We consider self-adjoint generalized Friedrichs model h(p), p ∈ T3 (T3 is the threedimensional torus), in the case where the parameter functions w1 and w2 of this operator has the special forms. These functions has non-degenerate minimum at the several different points. Threshold effects for the considering operator are studied depending on the minimum points of w2.

Topics

Spectral Theory in Mathematical Physics Matrix Theory and Algorithms Numerical methods in inverse problems

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