Effect of dissociation energy on Shannon and Rényi entropies

Abstract

The analytical solutions of the three dimensional Schrӧdinger equation for the Generalized Morse potential is obtained via parametric Nikiforov–Uvarov method and Formula method. The results are compared with the results obtained from two other methods. The results obtained are found to be in good agreement with the previous results. Thereafter, the position space and momentum space Shannon entropy and Rényi entropy are calculated using a new approach (integral limit) which is more straight forward and less cumbersome. The effect of the dissociation energy on the Shannon entropies is investigated in detail. This is then applied to the Morse potential well. The point of maximum stability of a particle in a system for both Shannon entropy and Rényi entropy are also investigated. The results obtained obey the Heisenberg uncertainty principle and are in agreement with those in the literature.