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- Title
Dirac equation, hydrogen atom spectrum and the Lamb shift in dynamical non-commutative spaces.
- Authors
ALAVI, S; REZAEI, N
- Abstract
We derive the relativistic Hamiltonian of hydrogen atom in dynamical non-commutative spaces (DNCS or τ-space). Using this Hamiltonian we calculate the energy shift of the ground state as well the 2 P , 2 S levels. In all the cases, the energy shift depends on the dynamical non-commutative parameter τ. Using the accuracy of the energy measurement, we obtain an upper bound for τ. We also study the Lamb shift in DNCS. Both 2 P and 2 S levels receive corrections due to dynamical non-commutativity of space which is in contrast with the non-dynamical non-commutative spaces (NDNCS or 휃-space) in which the 2 S level receives no correction.
- Subjects
DIRAC equation; HYDROGEN spectra; ATOMIC hydrogen; LAMB shift; NONCOMMUTATIVE function spaces; HYDROGEN atom; HAMILTON'S equations
- Publication
Pramana: Journal of Physics, 2017, Vol 88, Issue 5, p1
- ISSN
0304-4289
- Publication type
Article
- DOI
10.1007/s12043-017-1381-4