Hydrogen atom in momentum space with a minimal length
Abstract
A momentum representation treatment of the hydrogen atom problem with a generalized uncertainty relation,which leads to a minimal length (Xi)min= (3β+β'), is presented. We show that the distance squared operator can be factorized in the case β'=2β. We analytically solve the s-wave bound-state equation. The leading correction to the energy spectrum caused by the minimal length depends on β. An upper bound for the minimal length is found to be about 10-9 fm.
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