Number-phase entropic uncertainty relations and Wigner functions for solvable quantum systems with discrete spectra

TL;DR

This paper explores the number-phase entropic uncertainty relations and Wigner functions for generalized coherent states in solvable quantum systems with discrete spectra, analyzing their time evolution using Gazeau-Klauder states.

Contribution

It introduces a study of number-phase entropic uncertainty and Wigner functions for specific quantum systems, including their time dynamics with Gazeau-Klauder coherent states.

Findings

Derived new number-phase entropic uncertainty relations.

Calculated Wigner functions for generalized coherent states.

Analyzed time evolution of uncertainty and Wigner functions.

Abstract

In this letter, the number-phase entropic uncertainty relation and the number-phase Wigner function of generalized coherent states associated to a few solvable quantum systems with nondegenerate spectra are studied. We also investigate time evolution of number-phase entropic uncertainty and Wigner function of the considered physical systems with the help of temporally stable Gazeau-Klauder coherent states.