Degeneracy and coherent states of the two-dimensional Morse potential
arXiv:2104.13837 · doi:10.1140/epjp/s13360-021-01697-1
Abstract
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 two-fold 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.
9 pages, 6 figures
References in corpus (8)
- On-the-fly ab initio semiclassical evaluation of third-order response functions for two-dimensional electronic spectroscopy
- Systematic calculation of molecular vibrational spectra through a complete Morse expansion
- Two-Dimensional Supersymmetry: From SUSY Quantum Mechanics to Integrable Classical Models
- Generalized Heisenberg Algebras, SUSYQM and Degeneracies: Infinite Well and Morse Potential
- Quantum state engineering of spin-orbit coupled ultracold atoms in a Morse potential
- Energy spectrum of massive Dirac particles in gapped graphene with Morse potential
- Classical ladder functions for Rosen-Morse and curved Kepler-Coulomb systems
- Morse Potential on a Quantum Computer for Molecules and Supersymmetric Quantum Mechanics