Planck scale effects on some low energy quantum phenomena

dc.contributor.authorDas, Saurya
dc.contributor.authorMann, R. B.
dc.date.accessioned2016-01-19T23:27:29Z
dc.date.available2016-01-19T23:27:29Z
dc.date.issued2016-01-19
dc.descriptionSherpa Romeo green journal. Open access article. Creative Commons Attribution License (CC BY) applies.en_US
dc.description.abstractAlmost 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.en_US
dc.description.peer-reviewYesen_US
dc.identifier.citationDas, 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
dc.identifier.urihttps://hdl.handle.net/10133/3870
dc.language.isoen_CAen_US
dc.publisher.departmentDepartment of Physics and Astronomyen_US
dc.publisher.facultyArts and Scienceen_US
dc.publisher.institutionUniversity of Lethbridgeen_US
dc.publisher.institutionUniversity of Waterlooen_US
dc.subjectQuantum gravityen_US
dc.subjectHeisenberg uncertainty principleen_US
dc.subjectGeneralized uncertainty principleen_US
dc.subjectGUPen_US
dc.subjectPlancken_US
dc.titlePlanck scale effects on some low energy quantum phenomenaen_US
dc.typeArticleen_US
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