• 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}
}
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

N ov 2 02 0 DISCRETE EIGENVALUES OF A 2 × 2 OPERATOR MATRIX

  • 2020

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