Hilbert space representation of maximal length and minimal momentum uncertainties
Abstract
Perivolaropoulos has recently proposed a positiondeformed Heisenberg algebra which includes a maximal length [Phys.Rev.95, 103523 (2017)]. He has shown that this length scale naturally emerges in the context of cosmological particle's horizon or cosmic topology. Following this work, we propose a new deformed algebra and derive the maximal length uncertainty and its corresponding minimal momentum uncertainty from the generalized uncertainty principle. We also construct the corresponding Fourier transform and its inverse representations. Finally, we propose ndimensional representation of this algebra
 Publication:

arXiv eprints
 Pub Date:
 October 2021
 arXiv:
 arXiv:2110.09926
 Bibcode:
 2021arXiv211009926A
 Keywords:

 Quantum Physics;
 High Energy Physics  Theory
 EPrint:
 12pages