Regular Article - Theoretical Physics
Ground state of the hydrogen atom via Dirac equation in a minimal-length scenario
Departamento de Física, Universidade Federal do Espírito Santo, 29.075-910, Vitória, ES, Brazil
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Revised: 20 June 2013
Published online: 6 July 2013
In this work we calculate the correction to the ground state energy of the hydrogen atom due to contributions arising from the presence of a minimal length. The minimal-length scenario is introduced by means of modifying the Dirac equation through a deformed Heisenberg algebra (Kempf algebra). With the introduction of the Coulomb potential in the new Dirac energy operator, we calculate the energy shift of the ground state of the hydrogen atom in first order of the parameter related to the minimal length via perturbation theory.
© Springer-Verlag Berlin Heidelberg and Società Italiana di Fisica, 2013