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Publications Scientifiques

[ Article ] Landau problem with time dependent mass in time dependent electric and harmonic background fields

Date de soumission: 21-02-2024
Année de Publication: 2018
Entité/Laboratoire Laboratoire de Recherche en Physique Théorique (LRPT)
Document type : Article
Discipline(s) : Physique mathématique
Titre Landau problem with time dependent mass in time dependent electric and harmonic background fields
Auteurs Lawson Latévi M. [1], AVOSSEVOU GABRIEL YVES HUGUES [2],
Journal: JOURNAL OF MATHEMATICAL PHYSICS
Catégorie Journal: Internationale
Impact factor: 0
Volume Journal: 59
DOI: 10.1063/1.5001174
Resume The spectrum of a Hamiltonian describing the dynamics of a Landau particle with time-dependent mass and frequency undergoing the influence of a uniform time dependent electric field is obtained. The configuration space wave function of the model is expressed in terms of the generalised Laguerre polynomials. To diagonalize the time-dependent Hamiltonian, we employ the Lewis-Riesenfeld method of invariants.To this end, we introduce a unitary transformation in the framework of the algebraic formalism to construct the invariant operator of the system and then to obtain the exact solution of the Hamiltonian. We recover the solutions of the ordinary Landau problem in the absence of the electric and harmonic fields for a constant particle mass.
Mots clés Landau problem,Lewis-Riesenfeld method,time dependent systems
Pages 1 - 9
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