Article

Main properties of the Faddeev equation for 2 \times 2 operator matrices

Tulkin H. RasulovBukhara State UniversityElyor B. DilmurodovBukhara State University, Bukhara Branch of the Institute of Mathematics named after V.I.Romanovskiy of the Academy of Sciences of the Republic of Uzbekistan

Izvestiya Vysshikh Uchebnykh Zavedenii Matematikajournal2023en

ABI

Abstract

In the present paper we consider a 2 \times 2 operator matrix H. We construct an analog of the well-known Faddeev equation for the eigenvectors of H and study some important properties of this equation, related with the number of eigenvalues. In particular, the Birman–Schwinger principle for H is proven.

Topics

Spectral Theory in Mathematical Physics Matrix Theory and Algorithms Quantum chaos and dynamical systems

Identifiers

DOI: 10.26907/0021-3446-2023-12-53-58

Citations and references

Cited by 07 references

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