Hydrogen atom in momentum space with a minimal length

Djamil Bouaziz and Nourredine Ferkous
Phys. Rev. A 82, 022105 – Published 11 August 2010

Abstract

A momentum representation treatment of the hydrogen atom problem with a generalized uncertainty relation, which leads to a minimal length (ΔXi)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 109fm.

  • Received 16 June 2010

DOI:https://doi.org/10.1103/PhysRevA.82.022105

©2010 American Physical Society

Authors & Affiliations

Djamil Bouaziz and Nourredine Ferkous

  • Laboratoire de Physique Théorique (LPTh), Université de Jijel, Boîte Postale 98, Ouled Aissa, 18000 Jijel, Algeria

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Issue

Vol. 82, Iss. 2 — August 2010

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