Abstract
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 H2 molecule and C60 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.
Acknowledgements
This work has been supported by Turkish Academy of Sciences, in the framework of the Young Scientist Award Program (ED-TÜBA-GEBIP-2001-1-4).