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

• Autoři: BUREŠ Martin
• Rok publikování: 2015
• Druh: Článek v odborném periodiku
• Časopis / Zdroj: Annals of Physics
• Fakulta / Pracoviště MU: Přírodovědecká fakulta
• www: Full Text
• Doi: http://dx.doi.org/10.1016/j.aop.2015.10.004
• Obor: Teoretická fyzika
• Klíčová slova: Extra dimensions; Hydrogen atom
• Popis: 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.

Související projekty

• Matematické struktury v teoretické fyzice