Degeneracy and coherent states of the two-dimensional Morse potential
Département de physique, Université de Montréal, H3C 3J7, Montréal, Québec, Canada
2 Centre de recherches mathématiques, Université de Montréal, H3C 3J7, Montréal, Québec, Canada
Accepted: 23 June 2021
Published online: 5 July 2021
In this paper we construct coherent states for the two-dimensional Morse potential. We find the dependence of the spectrum on the physical parameters and use this to understand the emergence of accidental degeneracies. It is observed that, under certain conditions pertaining to the irrationality of the parameters, accidental degeneracies do not appear and as such energy levels are at most twofold degenerate. After defining a non-degenerate spectrum and set of states for the 2D Morse potential, we construct generalised coherent states and discuss the spatial distribution of their probability densities and their uncertainty relations.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2021