Squeezed coherent states and the Morse quantum system

TL;DR

This paper constructs and analyzes squeezed coherent states for the Morse quantum system, a realistic model for diatomic molecule vibrations, exploring their properties and similarities to harmonic oscillator states.

Contribution

It introduces a method to build squeezed coherent states for the Morse potential, extending harmonic oscillator techniques to a more realistic molecular model.

Findings

States exhibit localization in position

States satisfy minimal Heisenberg uncertainty

Statistical properties are characterized

Abstract

The Morse potential quantum system is a realistic model for studying vibrations of atoms in a diatomic molecule. This system is very close to the harmonic oscillator one. We thus propose a construction of squeezed coherent states similar to the one of harmonic oscillator using ladder operators. Properties of these states are analysed with respect to the localization in position, minimal Heisenberg uncertainty relation, the statistical properties and illustrated with examples using the finite number of states in a well-known diatomic molecule.