Hydrogen atom in space with a compactified extra dimension and potential defined by Gauss? law
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F15%3A00080644" target="_blank" >RIV/00216224:14310/15:00080644 - isvavai.cz</a>
Alternative codes found
RIV/61389005:_____/15:00444433
Result on the web
<a href="http://dx.doi.org/10.1016/j.aop.2014.12.017" target="_blank" >http://dx.doi.org/10.1016/j.aop.2014.12.017</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.aop.2014.12.017" target="_blank" >10.1016/j.aop.2014.12.017</a>
Alternative languages
Result language
angličtina
Original language name
Hydrogen atom in space with a compactified extra dimension and potential defined by Gauss? law
Original language description
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|21/|x|2. The additional spatial dimension is considered to be either infinite or curled-up in a circle of radius RR. 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 RR 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.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BE - Theoretical physics
OECD FORD branch
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Result continuities
Project
<a href="/en/project/GD202%2F08%2FH072" target="_blank" >GD202/08/H072: Mathematical structures in theoretical physics</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Annals of Physics
ISSN
0003-4916
e-ISSN
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Volume of the periodical
354
Issue of the periodical within the volume
March
Country of publishing house
US - UNITED STATES
Number of pages
12
Pages from-to
316-327
UT code for WoS article
000353079500019
EID of the result in the Scopus database
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