Coherent states for a system of an electron moving in a plane: case of discrete spectrum. (17th December 2021)

• Record Type: Journal Article
• Authors: Aremua, Isiaka; Gouba, Laure
• Is Part Of: Journal of physics communications. Volume 5:Number 12(2021)
• Publication Date: 2021-12-17
• Subjects: coherent states -- degree of freedom -- hilbert space -- landau levels -- discrete and continuous spectra; Physics -- Periodicals; 530.05
• DOI: 10.1088/2399-6528/ac40a4
• Languages: English
• ISSNs: 2399-6528

Abstract

Abstract: In this work, we construct different classes of coherent states related to a quantum system, recently studied in [1], of an electron moving in a plane in uniform external magnetic and electric fields which possesses both discrete and continuous spectra. The eigenfunctions are realized as an orthonormal basis of a suitable Hilbert space appropriate for building the related coherent states. These latter are achieved in the context where we consider both spectra purely discrete obeying the criteria that a family of coherent states must satisfy.