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arXiv · 2108.09765

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

Isiaka Aremua·Laure Gouba
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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.

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Isiaka Aremua, Laure Gouba. 2021-08-22. Coherent states for a system of an electron moving in a plane: case of discrete spectrum. https://doi.org/10.1088/2399-6528%2Fac40a4

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