Planck scale effects on some low energy quantum phenomena
High Energy Physics - Theory
2015-05-30 v1 Other Condensed Matter
Superconductivity
General Relativity and Quantum Cosmology
Quantum Physics
Abstract
Almost all theories of Quantum Gravity predict modifications of the Heisenberg Uncertainty Principle near the Planck scale to a so-called Generalized Uncertainty Principle (GUP). Recently it was shown that the GUP gives rise to corrections to the Schrodinger and Dirac equations, which in turn affect all non-relativistic and relativistic quantum Hamiltonians. In this paper, we apply it to superconductivity and the quantum Hall effect and compute Planck scale corrections. We also show that Planck scale effects may account for a (small) part of the anomalous magnetic moment of the muon. We obtain (weak) empirical bounds on the undetermined GUP parameter from present-day experiments.
Cite
@article{arxiv.1109.3258,
title = {Planck scale effects on some low energy quantum phenomena},
author = {Saurya Das and R. B. Mann},
journal= {arXiv preprint arXiv:1109.3258},
year = {2015}
}
Comments
5 pages. To appear in Physics Letters B