Abstract
A momentum representation treatment of the hydrogen atom problem with a generalized uncertainty relation, which leads to a minimal length , is presented. We show that the distance squared operator can be factorized in the case . We analytically solve the -wave bound-state equation. The leading correction to the energy spectrum caused by the minimal length depends on . An upper bound for the minimal length is found to be about .
- Received 16 June 2010
DOI:https://doi.org/10.1103/PhysRevA.82.022105
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