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Energy spectrum of the hydrogen atom in a space with one compactified extra dimension, R-3 x S-1

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BUREŠ Martin

Druh Článek v odborném periodiku
Časopis / Zdroj Annals of Physics
Citace
Doi http://dx.doi.org/10.1016/j.aop.2015.10.004
Obor Teoretická fyzika
Klíčová slova Extra dimensions; Hydrogen atom
Popis We investigate the consequences of one extra compactified dimension for the energy spectrum of the non-relativistic hydrogen atom with a potential defined by Gauss' law, i.e. proportional to 1/vertical bar x vertical bar(2) in non-compactified 4d space. The calculations were performed numerically by diagonalizing the Hamiltonian in two different sets of basis vectors. The energy levels and electron probability density are plotted as a function of the compactification radius. The occurrence of several physical effects is discussed and interpreted. (C) 2015 Elsevier Inc. All rights reserved.
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