Hidden Symmetry, Excitonic Transitions and Two-Dimensional Kane's Exciton in the Quantum Well

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dc.creatorKazaryan, E. M.
dc.creatorPetrosyan, L. S.
dc.creatorSarkisyan, H. A.
dc.date2007-04-24
dc.date2007-05-29
dc.date.accessioned2026-07-07T08:09:14Z
dc.date.available2026-07-07T08:09:14Z
dc.descriptionIn this article it is shown that, Sommerfeld's coefficients for excitonic transitions in quantum wells are determined only with the principle quantum number within the framework of two-dimensional Coulomb potential. This is a consequence of hidden symmetry of two-dimensional Coulomb problem, conditioned by the existence of two-dimensional analog of the Runge-Lentz vector. For the narrow gap semiconductor quantum well with the non-parabolic dispersion law of electron and hole in the two-band Kane model it is shown that two-dimensional excitonic states are described in the frames of an analog of Klein-Gordon equation with the two-dimensional Coulomb potential. The non-stability of the ground state of the two-dimensional Kane's exciton is show.
dc.description11 pages, grant number added
dc.identifierhttps://arxiv.org/abs/0704.3136
dc.identifierhttp://arxiv.org/abs/0704.3136
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/131479
dc.subjectOther Condensed Matter
dc.subjectMaterials Science
dc.titleHidden Symmetry, Excitonic Transitions and Two-Dimensional Kane's Exciton in the Quantum Well
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