Exact solutions for a Hamiltonian with the Morse potential and the Dirac delta shell interactions

We construct a method to obtain s-wave bound states of the Schrödinger equation for the Morse potential together with a finite number of the Dirac delta interactions. We derive an eigenvalue equation for energies and calculate the ground state energy and the frequencies for the transitions between t...

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Bibliographic Details
Published in:Molecular physics 2009-10, Vol.107 (19), p.2053-2062
Main Authors: Erkol, Hakan, Demiralp, Ersan
Format: Article
Language:English
Subjects:
bound states
Dirac delta interactions
endohedral C
Morse potential
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Summary:We construct a method to obtain s-wave bound states of the Schrödinger equation for the Morse potential together with a finite number of the Dirac delta interactions. We derive an eigenvalue equation for energies and calculate the ground state energy and the frequencies for the transitions between the low-lying energy levels for one delta interaction case. We analyse the condition for the number of bound states for given parameters of the potential. For a simple description of the interaction between an encapsulated H 2 molecule and C 60 cage, we utilise our method for representing the interaction potential by a Dirac delta interaction. We also perform the stabilisation energy calculation for this system. Interatomic interactions that are described by a Morse potential together with local deformations can be investigated by using our model.
ISSN:0026-8976
1362-3028
DOI:10.1080/00268970903140441