• Corpus ID: 218502170

# Analysis of the discrete spectrum of the family of $3 \times 3$ operator matrices

@article{Muminov2020AnalysisOT,
title={Analysis of the discrete spectrum of the family of \$3 \times 3\$ operator matrices},
author={Mukhiddin I. Muminov and Tulkin Husenovich Rasulov and Nargiza A. Tosheva},
journal={arXiv: Mathematical Physics},
year={2020}
}
• Published 5 May 2020
• Mathematics
• arXiv: Mathematical Physics
We consider the family of $3 \times 3$ operator matrices ${\bf H}(K),$ $K \in {\Bbb T}^3:=(-\pi; \pi]^3$ associated with the lattice systems describing two identical bosons and one particle, another nature in interactions, without conservation of the number of particles. We find a finite set $\Lambda \subset {\Bbb T}^3$ to prove the existence of infinitely many eigenvalues of ${\bf H}(K)$ for all $K \in \Lambda$ when the associated Friedrichs model has a zero energy resonance. It is found that…
1 Citations

• 2020

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