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
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Annotatsiya
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.
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