https://doi.org/10.1140/epjc/s10052-014-3235-2
Regular Article - Theoretical Physics
Hydrogen and muonic hydrogen atomic spectra in non-commutative space-time
Department of Physics, Isfahan University of Technology, Isfahan, 84156-83111, Iran
* e-mail: mansour@cc.iut.ac.ir
Received:
3
October
2014
Accepted:
16
December
2014
Published online:
14
January
2015
Comparing electronic hydrogen with muonic hydrogen shows that the discrepancy in measurement of the Lamb shift in the both systems are relatively of order of 
. We explore the spectrum of hydrogen atom in non-commutative 
to compare the non-commutative effects on the both bound states. We show that in the Lorentz-violating non-commutative QED the ratio of NC-corrections is 
while in the Lorentz-conserving NCQED is 
. An uncertainty about 
in the Lamb shift of hydrogen atom leads to an NC correction of about 
in the Lorentz-violating non-commutative QED and about 
in the Lorentz-conserving non-commutative QED.
© SIF and Springer-Verlag Berlin Heidelberg, 2015
