Phenomenological implications of the generalized uncertainty principle

Simple item page
dc.contributor.authorDas, Saurya
dc.contributor.authorVagenas, Elias C.
dc.date.accessioned2016-01-18T19:43:20Z
dc.date.available2016-01-18T19:43:20Z
dc.date.issued2016-01-18
dc.descriptionSherpa Romeo green journal. Permission to archive author manuscript.en_US
dc.description.abstractVarious theories of Quantum Gravity argue that near the Planck scale, the Heisenberg Uncertainty Principle should be replaced by the so called Generalized Uncertainty Principle (GUP).We show that the GUP gives rise to two additional terms in any quantum mechanical Hamiltonian, proportional to p4 and 2p6 respectively, where 1/(MPlc)2 is the GUP parameter. These terms become important at or above the Planck energy. Considering only the first of these, and treating it as a perturbation, we show that the GUP affects the Lamb shift, Landau levels, reflection and transmission coefficients of a potential step and potential barrier, and the current in a Scanning Tunnel Microscope (STM). Although these are too small to be measurable at present, we speculate on the possibility of extracting measurable predictions in the future.en_US
dc.description.peer-reviewNoen_US
dc.identifier.citationDas, S., & Vagenas, E. C. (2009). Phenomenological implications of the generalized uncertainty principle. Canadian Journal of Physics, 2009, 87(3), 233-240. https://doi.org/10.1139/P08-105
dc.identifier.urihttps://hdl.handle.net/10133/3866
dc.language.isoen_CAen_US
dc.publisher.departmentDepartment of Physicsen_US
dc.publisher.facultyArts and Scienceen_US
dc.publisher.institutionUniversity of Lethbridgeen_US
dc.publisher.institutionAcademy of Athensen_US
dc.publisher.urlhttps://doi.org/10.1139/P08-105
dc.subjectGeneralized uncertainty principleen_US
dc.subjectGUPen_US
dc.subjectLamb shiften_US
dc.subjectLandau levelsen_US
dc.titlePhenomenological implications of the generalized uncertainty principleen_US
dc.typeArticleen_US
Files
Original bundle
Now showing 1 - 2 of 2
Thumbnail Image
Name:
Das 0901 1768.pdf
Size:
149.92 KB
Format:
Adobe Portable Document Format
Description:
Download
Thumbnail Image
Name:
Das-relativity-andVR.pdf
Size:
134.95 KB
Format:
Adobe Portable Document Format
Description:
REQUEST a copy of the final published version
Download
License bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
license.txt
Size:
1.71 KB
Format:
Item-specific license agreed upon to submission
Description:
Download
Collections
Das, Saurya