Energy spectrum of the hydrogen atom in a space with one compactified extra dimension, R-3 x S-1

Investor logo

Warning

This publication doesn't include Faculty of Economics and Administration. It includes Faculty of Science. Official publication website can be found on muni.cz.
Authors

BUREŠ Martin

Year of publication 2015
Type Article in Periodical
Magazine / Source Annals of Physics
MU Faculty or unit

Faculty of Science

Citation
Web Full Text
Doi http://dx.doi.org/10.1016/j.aop.2015.10.004
Field Theoretical physics
Keywords Extra dimensions; Hydrogen atom
Description We investigate the consequences of one extra compactified dimension for the energy spectrum of the non-relativistic hydrogen atom with a potential defined by Gauss' law, i.e. proportional to 1/vertical bar x vertical bar(2) in non-compactified 4d space. The calculations were performed numerically by diagonalizing the Hamiltonian in two different sets of basis vectors. The energy levels and electron probability density are plotted as a function of the compactification radius. The occurrence of several physical effects is discussed and interpreted.
Related projects:

You are running an old browser version. We recommend updating your browser to its latest version.