On the Eigenvalues of a Soluble Model of Coupled Molecular and Nuclear Hamiltonians
DOI:
https://doi.org/10.37256/cm.5120242728Keywords:
molecular Hamiltonian, nuclear Hamiltonian, direct sum of spaces, inner product, adjoint operator, discrete spectrum, discrete eigenvalues, Faddeev operatorAbstract
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
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1.
Rasulov TH, Dilmurodov EB. On the Eigenvalues of a Soluble Model of Coupled Molecular and Nuclear Hamiltonians. Contemp. Math. [Internet]. 2024 Mar. 22 [cited 2024 Dec. 21];5(1):843-52. Available from: https://ojs.wiserpub.com/index.php/CM/article/view/2728
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Research Article
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Copyright (c) 2024 Tulkin H. Rasulov, et al.
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