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

0444433 - ÚJF 2016 RIV US eng J - Journal Article
Bureš, M. - Siegl, Petr
Hydrogen atom in space with a compactified extra dimension and potential defined by Gauss' law.
Annals of Physics. Roč. 354, MAR (2015), s. 316-327. ISSN 0003-4916. E-ISSN 1096-035X
Grant - others:GA ČR(CZ) GD202/08/H072
Institutional support: RVO:61389005
Keywords : extra dimensions * hydrogen atom * quantum stability
Subject RIV: BE - Theoretical Physics
Impact factor: 2.375, year: 2015

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.
Permanent Link: http://hdl.handle.net/11104/0246955