Existence of the eigenvalues of a tensor sum of the Friedrichs models with rank 2 per turbation
https://doi.org/10.17586/2220-8054-2023-14-2-151-157
Abstract
In the paper we consider a tensor sum Hμ,λ,μ,λ > 0 of two Friedrichs models hμ,λ 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 Hμ,λ. The existence of eigenvalues located respectively inside, in the gap, and below the bottom of the essential spectrum of Hμ,λ is proved.
About the Authors
T. H. Rasulov
Bukhara State University
Russian Federation
Russian Federation
Tulkin H. Rasulov
Bukhara
B. I. Bahronov
Bukhara State University
Russian Federation
Russian Federation
BekzodI. Bahronov
Bukhara
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Review
For citations:
Rasulov T.H., Bahronov B.I. Existence of the eigenvalues of a tensor sum of the Friedrichs models with rank 2 per turbation. Nanosystems: Physics, Chemistry, Mathematics. 2023;14(2):151-157. https://doi.org/10.17586/2220-8054-2023-14-2-151-157
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