Applications of the extended uncertainty principle in AdS and dS spaces

Hamil B., Merad M., Birkandan T.

European Physical Journal Plus, cilt.134, 2019 (SCI Expanded İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 134 Konu: 6
  • Basım Tarihi: 2019
  • Doi Numarası: 10.1140/epjp/i2019-12633-y
  • Dergi Adı: European Physical Journal Plus


.All commutation relations are modified in (anti)-de Sitter background and the Heisenberg uncertainty principle is changed to the so-called extended uncertainty principle (EUP). In this scenario, the commutators between position and momentum operators are functions of the position space variables, instead of a constant and the coordinate representation of the momentum operators for this model becomes coordinate dependent. In the AdS space, a lower bound on momentum uncertainty arises, which is not present in the dS space. In this paper, we present an exact solution of the D -dimensional free particle, the harmonic oscillator and pseudoharmonic oscillator in AdS and dS spaces. The eigenfunctions are determined for both cases and the energy eigenvalues are obtained.