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RELATIVISTIC PARTICLE IN ELECTROMAGNETIC FIELDS WITH A GENERALIZED UNCERTAINTY PRINCIPLE

M. MERAD

Laboratoire (LSDC), Faculté des Sciences Exactes, Université de Oum El Bouaghi, 04000 Oum El Bouaghi, Algérie

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F. ZEROUAL

Laboratoire (LSDC), Faculté des Sciences Exactes, Université de Oum El Bouaghi, 04000 Oum El Bouaghi, Algérie

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, and

M. FALEK

Département des sciences de la matière, Faculté des sciences Exactes, Université de Biskra, 07000 Biskra, Algérie

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https://doi.org/10.1142/S0217732312500800Cited by:5 (Source: Crossref)

Abstract

In this paper, we propose to solve the relativistic Klein–Gordon and Dirac equations subjected to the action of a uniform electromagnetic field with a generalized uncertainty principle in the momentum space. In both cases, the energy eigenvalues and their corresponding eigenfunctions are obtained. The limit case is then deduced for a small parameter of deformation.

Keywords:

PACS: 03.65.Ca, 03.65.Ge, 03.65.Pm

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