The Duffin-Kemmer-Petiau oscillator in the presence of minimal uncertainty in momentum


Hamil B., Merad M., Birkandan T.

PHYSICA SCRIPTA, vol.95, 2020 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 95
  • Publication Date: 2020
  • Doi Number: 10.1088/1402-4896/ab96de
  • Title of Journal : PHYSICA SCRIPTA

Abstract

In the anti-de Sitter background, the position and momentum operators obey the extended commutation relations leading to the emergence of a minimal uncertainty in momentum. Here, by using the position space representation we exactly determine the energy eigenvalues and the corresponding eigenfunctions for a (3+1) dimensional Duffin-Kemmer-Petiau oscillator of spin-zero and one in the framework of extended commutation relations.