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

Authors

DOI:

https://doi.org/10.37256/cm.5120242728

Keywords:

molecular Hamiltonian, nuclear Hamiltonian, direct sum of spaces, inner product, adjoint operator, discrete spectrum, discrete eigenvalues, Faddeev operator

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.

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Published

2024-03-22

Issue

Contemporary Mathematics, Volume 5 Issue 1 (2024), 1-1121

Section

Research Article

License

Copyright (c) 2024 Tulkin H. Rasulov, et al.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

1.
On the Eigenvalues of a Soluble Model of Coupled Molecular and Nuclear Hamiltonians. Contemp. Math. [Internet]. 2024 Mar. 22 [cited 2025 Dec. 24];5(1):843-52. Available from: https://ojs353.mebyme.cn/index.php/CM/article/view/2728