Gazeau$-$Klauder squeezed states associated with solvable quantum systems

TL;DR

This paper introduces a formalism for constructing Gazeau-Klauder squeezed states for solvable quantum systems, analyzes their properties, and demonstrates applications with numerical results.

Contribution

It develops a new formalism for Gazeau-Klauder squeezed states applicable to any solvable quantum system with known spectra.

Findings

The structure is applied to known quantum systems.

Statistical properties of the states are analyzed.

Numerical results demonstrate the properties of the states.

Abstract

A formalism for the construction of some classes of Gazeau$-$Klauder squeezed states, corresponding to arbitrary solvable quantum systems with a known discrete spectrum, are introduced. As some physical applications, the proposed structure is applied to a few known quantum systems and then statistical properties as well as squeezing of the obtained squeezed states are studied. Finally, numerical results are presented.