Article

On the Eigenvalues of a Soluble Model of Coupled Molecular and Nuclear Hamiltonians

Tulkin H. RasulovDepartment of Mathematical Analysis, Bukhara State University, 705018 Bukhara, UzbekistanElyor B. DilmurodovDepartment of Mathematical Analysis, Bukhara State University, 705018 Bukhara, Uzbekistan

Contemporary Mathematicsjournal2024en

ABI

Abstract

In this paper, a special type of soluble model corresponding to a coupled molecular and nuclear Hamiltonians H, the so-called generalized Friedrichs model, is considered. We aim to determine and provide the most important properties of the well-known Faddeev operator corresponding to H accommodating a number of discrete eigenvalues. Furthermore, we provide a formula for counting the multiplicity of discrete eigenvalues of H.

Topics

Quantum chaos and dynamical systems Spectral Theory in Mathematical Physics Numerical methods for differential equations

Identifiers

DOI: 10.37256/cm.5120242728

Citations and references

Cited by 3 16 references

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