Generalized Uncertainty Principle and angular momentum

Year: 2017

Authors: Bosso P., Das S.

Autors Affiliation: Univ Lethbridge, Dept Phys & Astron, Theoret Phys Grp & Quantum Alberta, 4401 Univ Dr, Lethbridge, AB T1K 3M4, Canada.

Abstract: Various models of quantum gravity suggest a modification of the Heisenberg’s Uncertainty Principle, to the so-called Generalized Uncertainty Principle, between position and momentum. In this work we show how this modification influences the theory of angular momentum in Quantum Mechanics. In particular, we compute Planck scale corrections to angular momentum eigenvalues, the hydrogen atom spectrum, the Stern-Gerlach experiment and the Clebsch-Gordan coefficients. We also examine effects of the Generalized Uncertainty Principle on multi-particle systems. (C) 2017 Elsevier Inc. All rights reserved.

Journal/Review: ANNALS OF PHYSICS

Volume: 383      Pages from: 416  to: 438

More Information: The authors thank E.C. Vagenas for discussions, and the Referees for useful comments. This work was supported in part by the Natural Sciences and Engineering Research Council of Canada (grant no. DDG-2017-00007).
KeyWords: Quantum gravity; Generalized Uncertainty Principle; Angular momentum; Spectroscopy
DOI: 10.1016/j.aop.2017.06.003

Citations: 44
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