Applications of the extended uncertainty principle in AdS and dS spaces

B. Hamil, M. Merad*, T. Birkandan

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

31 Citations (Scopus)

Abstract

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.

Original languageEnglish
Article number278
JournalEuropean Physical Journal Plus
Volume134
Issue number6
DOIs
Publication statusPublished - 1 Jun 2019

Bibliographical note

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© 2019, Società Italiana di Fisica / Springer-Verlag GmbH Germany, part of Springer Nature.

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