Shape Invariant Potential Formalism for Photon-Added Coherent State Construction

In this work, the density operator diagonal representation in the coherent states basis, known as the Glauber–Sudarshan-P representation, is used to study harmonic oscillator quantum systems and models of spinless electrons moving in a two-dimensional noncommutative space, subject to a magnetic field background coupled with a harmonic oscillator. Relevant statistical properties such as the Q-Husimi distribution and the Wehrl entropy are investigated.

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Density operator formulation for magnetic systems: Physical and mathematical aspects

Aremua

Hounkonnou

Baloïtcha

2021

Journal of Mathematical Physics

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Shape Invariant Potential Formalism for Photon-Added Coherent State Construction

Abstract: An algebro-operator approach, called shape invariant potential method, of constructing generalized coherent states for photon-added particle system is presented. Illustration is given on Pöschl-Teller potential.

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Density operator formulation for magnetic systems: Physical and mathematical aspects

Density operator formulation for magnetic systems: Physical and mathematical aspects

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