Generalized coherent states for solvable quantum systems with degenerate discrete spectra and their nonclassical properties

TL;DR

This paper introduces generalized coherent states for quantum systems with degenerate spectra, explores their nonclassical properties, and analyzes their time evolution using the Gazeau-Klauder approach.

Contribution

It presents a new formulation of coherent states for degenerate spectra and studies their nonclassical features and dynamics.

Findings

Nonclassical properties depend on system parameters

Number-phase entropic uncertainty relations are derived

Time evolution of nonclassical features is characterized

Abstract

In this paper, the generalized coherent state for quantum systems with degenerate spectra is introduced. Then, the nonclassicality features and number-phase entropic uncertainty relation of two particular degenerate quantum systems are studied. Finally, using the Gazeau-Klauder coherent states approach, time evolution of some of the nonclassical properties of the coherent states corresponding to the considered physical systems are discussed.