Hydrogen atom in space with a compactified extra dimension and potential defined by Gauss' law

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. 316-327. 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 non-relativistic 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 curled-up 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:

0003-4916

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

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