Abstract (EN):
We consider full phase-space noncommutativity in the Dirac equation, and find that in order to preserve gauge invariance, configuration space noncommutativity must be dropped. The resulting space structure gives rise to a constant magnetic field background and this effect is explicitly seen on the spectrum of the hydrogen atom. Computing this spectrum we find a bound on the momentum noncommutative parameter eta, root eta less than or similar to 2.26 mu eV/c.
Language:
English
Type (Professor's evaluation):
Scientific
Contact:
orfeu.bertolami@fc.up.pt; rpa.queiroz@gmail.com
No. of pages:
4