Мақола

Existence of the eigenvalues of a tensor sum of the Friedrichs models with rank 2 perturbation

Tulkin H. RasulovBukhara State University, Bukhara, UzbekistanBekzod I. BahronovBukhara State University, Bukhara, Uzbekistan

Nanosystems Physics Chemistry Mathematicsjournal2023en

ABI

Аннотация

In the paper we consider a tensor sum H , , , > 0 of two Friedrichs models h , with rank two perturbation. The Hamiltonian H , is associated with a system of three quantum particles on one-dimensional lattice. We investigate the number and location of the eigenvalues of H , . The existence of eigenvalues located respectively inside, in the gap, and below the bottom of the essential spectrum of H , is proved.

Мавзулар

Advanced Differential Geometry Research Advanced Differential Equations and Dynamical Systems Quantum chaos and dynamical systems

Идентификаторлар

DOI: 10.17586/2220-8054-2023-14-2-151-157

Иқтибослар ва манбалар

6 та иқтибос 12 та фойдаланилган манба

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