Step-Up and Step-Down Operators of a two-term Molecular Potential via Nikiforov-Uvarov Method
Altug Arda, Ramazan Sever
TL;DR
This paper derives creation and annihilation operators for a two-term diatomic molecular potential, demonstrating they form an SU(1,1) algebra, using the Nikiforov-Uvarov method to find eigenfunctions and eigenvalues.
Contribution
It introduces the algebraic structure of the operators for this potential and applies the Nikiforov-Uvarov method for explicit solutions, advancing the understanding of molecular potentials.
Findings
Operators satisfy SU(1,1) algebra
Eigenfunctions and eigenvalues computed explicitly
Operators serve as ladder operators for the potential
Abstract
The creation and annihilation operators of a two-term diatomic molecular potential are studied and it is observed that they satisfy the commutation relations of a SU(1,1) algebra. To study the Lie algebraic realization of the present potential, the normalized eigenfunctions and eigenvalues are computed by using the Nikiforov-Uvarov method.
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