Hydrogen atom in space with a compactified extra dimension and potential defined by Gauss’ law
| Authors | |
|---|---|
| Year of publication | 2015 |
| Type | Article in Periodical |
| Magazine / Source | Annals of Physics |
| MU Faculty or unit | |
| Citation | |
| Web | Full Text |
| Doi | http://dx.doi.org/10.1016/j.aop.2014.12.017 |
| Field | Theoretical physics |
| Keywords | Extra dimensions; Hydrogen atom; Quantum stability |
| 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. |
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