Discrete eigenvalues of a 2 × 2 operator matrix

We discuss a block operator matrix Aμ(μ>0 is a coupling constant) of order 2 acting in a direct sum of one- and two-particle subspaces of the bosonic Fock space. Position of σess(Aμ) is demonstrated and its bounds are evaluated. It is shown the existence of the critical values μl0(γ) with γ>0...

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Bibliographic Details
Main Author: Dilmurodov, Elyor B.
Format: Conference Proceeding
Language:English
Subjects:
Coupling
Eigenvalues
Subspaces
Online Access:Get full text
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Summary:We discuss a block operator matrix Aμ(μ>0 is a coupling constant) of order 2 acting in a direct sum of one- and two-particle subspaces of the bosonic Fock space. Position of σess(Aμ) is demonstrated and its bounds are evaluated. It is shown the existence of the critical values μl0(γ) with γ>0 and μr0(γ) with γ0 for all γ>0 (γ
ISSN:0094-243X
1551-7616
DOI:10.1063/5.0144151