Coherent states for a system of an electron moving on plane

TL;DR

This paper constructs Gazeau-Klauder coherent states for an electron in a plane under uniform magnetic and electric fields, covering both discrete and continuous spectra, advancing quantum state analysis in such systems.

Contribution

It introduces a new construction of coherent states for an electron in a plane with external fields, encompassing both spectral types, and satisfying Gazeau-Klauder properties.

Findings

Coherent states constructed for both discrete and continuous spectra.

States satisfy Gazeau-Klauder coherence properties.

Provides a framework for analyzing quantum states in external fields.

Abstract

In this paper, we construct the coherent states for a system of an electron moving on plane in uniform external magnetic and electric fields. These coherent states are built in the context of both discrete and continuous spectra and satisfy the Gazeau-Klauder coherent states properties [1].