Planck scale effects on some low energy quantum phenomena

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Date
2016-01-19
Authors
Das, Saurya
Mann, R. B.
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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 Schr¨odinger 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.
Description
Sherpa Romeo green journal. Open access article. Creative Commons Attribution License (CC BY) applies.
Keywords
Quantum gravity , Heisenberg uncertainty principle , Generalized uncertainty principle , GUP , Planck
Citation
Das, S., & Mann, R. B. (2011). Planck scale effects on some low energy quantum phenomena. Physics Letters B, 704(5), 596-599. doi: 10.1016/j.physlet.2011.09.056
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