Coherent states for a system of an electron moving in a plane: case of discrete spectrum

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 satisfies.

15 pages

References in corpus (1)

• Coherent states for a system of an electron moving on plane

Cited by in corpus (1)

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