Bureš, M.; Siegl, Petr (2015). Hydrogen atom in space with a compactified extra dimension and potential defined by Gauss' law. Annals of physics, 354, pp. 316327. Elsevier 10.1016/j.aop.2014.12.017
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We investigate the consequences of one extra spatial dimension for the stability and energy spectrum of the nonrelativistic hydrogen atom with a potential defined by Gauss' law, i.e. proportional to 1 / x  2 . The additional spatial dimension is considered to be either infinite or curledup in a circle of radius R. In both cases, the energy spectrum is bounded from below for charges smaller than the same critical value and unbounded from below otherwise. As a consequence of compactification, negative energy eigenstates appear: if R is smaller than a quarter of the Bohr radius, the corresponding Hamiltonian possesses an infinite number of bound states with minimal energy extending at least to the ground state of the hydrogen atom.
Item Type: 
Journal Article (Original Article) 

Division/Institute: 
08 Faculty of Science > Department of Mathematics and Statistics > Institute of Mathematics 
UniBE Contributor: 
Siegl, Petr 
Subjects: 
500 Science > 510 Mathematics 
ISSN: 
00034916 
Publisher: 
Elsevier 
Language: 
English 
Submitter: 
Olivier Bernard Mila 
Date Deposited: 
28 Dec 2015 12:58 
Last Modified: 
08 Jan 2017 02:30 
Publisher DOI: 
10.1016/j.aop.2014.12.017 
ArXiv ID: 
1409.8530v1 
BORIS DOI: 
10.7892/boris.74320 
URI: 
https://boris.unibe.ch/id/eprint/74320 