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Analysis of the spectrum of a 2x2 operator matrix. Discrete spectrum asymptotics

Tulkin H. RasulovFaculty of Physics and Mathematics, Bukhara State University M. Ikbol str. 11, 200100 Bukhara, UzbekistanElyor B. DilmurodovFaculty of Physics and Mathematics, Bukhara State University M. Ikbol str. 11, 200100 Bukhara, Uzbekistan

Nanosystems Physics Chemistry Mathematicsjournal2020en

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Annotatsiya

We consider a 2 2 operator matrix A, > 0 related with the lattice systems describing two identical bosons and one particle, another nature in interactions, without conservation of the number of particles. We obtain an analog of the Faddeev equation and its symmetric version for the eigenfunctions of A. We describe the new branches of the essential spectrum of A via the spectrum of a family of generalized Friedrichs models.

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Matrix Theory and Algorithms advanced mathematical theories Spectral Theory in Mathematical Physics

Identifikatorlar

DOI: 10.17586/2220-8054-2020-11-2-138-144

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