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On infinity of the discrete spectrum of operators in the Friedrichs model

Yu. Kh. ÈshkabilovNational University of Uzbekistan, Tashkent, 100174, Uzbekistan
Siberian Advances in Mathematicsjournal2012en
ABI

Abstract

The discrete spectrumof selfadjoint operators in the Friedrichs model is studied. Necessary and sufficient conditions of existence of infinitely many eigenvalues in the Friedrichs model are presented. A discrete spectrum of a model three-particle discrete Schrödinger operator is described.

Topics

Spectral Theory in Mathematical PhysicsQuantum chaos and dynamical systemsadvanced mathematical theories

Identifiers

DOI
10.3103/s1055134412010014

Citations and references

Cited by 725 references
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