Year: 2026
Type: preprint
Abstract: This work revisits the debate on fractional uncertainty relations that arose a decade ago and tries to settle it. After a careful study of the position-momentum uncertainty product of the Lévy wave packet, a novel lower bound is proposed for uncertainty relations in fractional quantum mechanics. This bound is nearly linear in the Lévy index and is satisfied by exact, calculable solutions available in the literature.
Source: arXiv (Cornell University)
Authors: Li, Zi-Xuan, Li, Xiao-Dong, Wang, Towe
Institution: East China Normal University
Language: English
Subfield: Modeling and Simulation
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Awards: G309631082, G4283850043
OpenAlex ID: W7223201191