Compact Extra Dimensions in Quantum Mechanics

Abstract : Extra-dimensions are a common topic in popular descriptions of theoretical physics with which undergraduate student most often have no contact in physics courses. This paper shows how students could be introduced to this topic by presenting an approach to two basic consequences of the presence of compact extra-dimensions based on undergraduate-level physics. The insensibility of low-energy physics to compact extra dimensions is illustrated in the context of non-relativistic quantum mechanics and the prediction of Kaluza-Klein excitations of particles is discussed in the framework of relativistic wave-equations. An exercise that could be used as a follow-up to the "particle in a box" is proposed.
Type de document :
Pré-publication, Document de travail
6 pages, 2 figures. 2016
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http://hal.in2p3.fr/in2p3-01396150
Contributeur : Dominique Girod <>
Soumis le : lundi 14 novembre 2016 - 10:01:17
Dernière modification le : jeudi 15 mars 2018 - 11:40:11

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  • HAL Id : in2p3-01396150, version 1
  • ARXIV : 1611.01026

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Citation

N. Deutschmann. Compact Extra Dimensions in Quantum Mechanics. 6 pages, 2 figures. 2016. 〈in2p3-01396150〉

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