Hydrogen-atom spectrum under a minimal-length hypothesis

TR Number
Date
2005-07
Journal Title
Journal ISSN
Volume Title
Publisher
American Physical Society
Abstract

The energy spectrum of the Coulomb potential with minimal length commutation relations [X-i, P-j] = ih{delta ij(1 + beta P-2) + beta PiPj} is determined both numerically and perturbatively for arbitrary values of beta'/beta and angular momenta l. The constraint on the minimal length scale from precision hydrogen spectroscopy data is of the order of a few GeV-1, weaker than previously claimed.

Description
Keywords
uncertainty relation, lamb shift, frequency
Citation
Benczik, S ; Chang, LN ; Minic, D ; et al., Jul 2005. “Hydrogen-atom spectrum under a minimal-length hypothesis,” PHYSICAL REVIEW A 72(1): 012104. DOI: 10.1103/PhysRevA.72.012104