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 language | English |
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Article number | 278 |
Journal | European Physical Journal Plus |
Volume | 134 |
Issue number | 6 |
DOIs | |
Publication status | Published - 1 Jun 2019 |
Bibliographical note
Publisher Copyright:© 2019, Società Italiana di Fisica / Springer-Verlag GmbH Germany, part of Springer Nature.