Unitary maps on Hamiltonians of an electron moving in a plane and coherent states construction

TL;DR

This paper studies how unitary transformations affect the Hamiltonians of an electron in a plane with magnetic and electric fields and constructs Gazeau-Klauder coherent states for this system.

Contribution

It introduces a novel analysis of unitary maps on Hamiltonians and develops Gazeau-Klauder coherent states for the model.

Findings

Unitary maps significantly alter the Hamiltonian structure.

Explicit construction of Gazeau-Klauder coherent states for the system.

Provides insights into quantum state representations in magnetic fields.

Abstract

In this work we consider a model of an electron moving in a plane under uniform external magnetic and electric fields. We investigate the action of unitary maps on the associated quantum Hamiltonians and construct the coherent states of Gazeau-Klauder type.