Squeezed coherent states and the one-dimensional Morse quantum system

TL;DR

This paper constructs and analyzes squeezed coherent states for the Morse potential, a realistic model for diatomic molecular vibrations, comparing their properties to those of harmonic oscillator states.

Contribution

It introduces a method to create squeezed coherent states for the Morse potential using ladder operators, extending the harmonic oscillator framework to a more realistic molecular model.

Findings

Squeezed states exhibit localization and reduced uncertainty similar to harmonic oscillator states.

Properties of these states are demonstrated with examples from diatomic molecules.

The approach provides insights into quantum states in molecular vibrations.

Abstract

The Morse potential one-dimensional 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.