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arXiv · 0704.3136

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

E. M. Kazaryan·L. S. Petrosyan·H. A. Sarkisyan
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Abstract

In 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.

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E. M. Kazaryan, L. S. Petrosyan, H. A. Sarkisyan. 2007-05-29. Hidden Symmetry, Excitonic Transitions and Two-Dimensional Kane's Exciton in the Quantum Well. https://arxiv.org/abs/0704.3136

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