Fundamental State of the Hydrogen Atom via Dirac Equation in a Minimum Length Scenario.

Name: Thiago Luiz Antonacci Oakes
Type: PhD thesis
Publication date: 23/08/2013
Advisor:

Namesort descending Role
José Alexandre Nogueira Advisor *
Júlio César Fabris Co-advisor *

Examining board:

Namesort descending Role
Everton Murilo Carvalho de Abreu External Examiner *
José Alexandre Nogueira Advisor *
Júlio César Fabris Co advisor *
Oliver Fabio Piattella Internal Examiner *
Wesley Spalenza External Examiner *

Summary: In this work we calculate the correction to the ground state energy of the hydrogen atom due to contribuitions arising from the presence of a minimal length.The minimal length scenario is introduced by means of modifying the Dirac equation truogh 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.

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