Scattering in a three-dimensional fuzzy space

Simple item page
dc.contributor.authorKriel, J. N.en_ZA
dc.contributor.authorGroenewald, H. W.en_ZA
dc.contributor.authorScholtz, F. G.en_ZA
dc.date.accessioned2019-02-21T12:31:50Z
dc.date.available2019-02-21T12:31:50Z
dc.date.issued2017
dc.descriptionCITATION: Kriel, J. N., Groenewald, H. W. & Scholtz, F. G. 2017. Scattering in a three-dimensional fuzzy space. Physical Review D, 95(2):025003, doi:10.1103/PhysRevD.95.025003.en_ZA
dc.descriptionThe original publication is available at https://journals.aps.org/prden_ZA
dc.description.abstractWe develop scattering theory in a noncommutative space defined by an su(2) coordinate algebra. By introducing a positive operator valued measure as a replacement for strong position measurements, we are able to derive explicit expressions for the probability current, differential and total cross sections. We show that at low incident energies the kinematics of these expressions is identical to that of commutative scattering theory. The consequences of spatial noncommutativity are found to be more pronounced at the dynamical level where, even at low incident energies, the phase shifts of the partial waves can deviate strongly from commutative results. This is demonstrated for scattering from a spherical well. The impact of noncommutativity on the well’s spectrum and on the properties of its bound and scattering states are considered in detail. It is found that for sufficiently large well depths the potential effectively becomes repulsive and that the cross section tends towards that of hard sphere scattering. This can occur even at low incident energies when the particle’s wavelength inside the well becomes comparable to the noncommutative length scale.en_ZA
dc.description.urihttps://journals.aps.org/prd/abstract/10.1103/PhysRevD.95.025003
dc.description.versionPublisher's versionen_ZA
dc.format.extent10 pages : colour illustrationsen_ZA
dc.identifier.citationKriel, J. N., Groenewald, H. W. & Scholtz, F. G. 2017. Scattering in a three-dimensional fuzzy space. Physical Review D, 95(2):025003, doi:10.1103/PhysRevD.95.025003en_ZA
dc.identifier.issn2470-0029 (online)
dc.identifier.issn2470-0010 (print)
dc.identifier.otherdoi:10.1103/PhysRevD.95.025003
dc.identifier.urihttp://hdl.handle.net/10019.1/105454
dc.language.isoen_ZAen_ZA
dc.publisherAmerican Physical Societyen_ZA
dc.rights.holderAmerican Physical Societyen_ZA
dc.subjectManifolds (Mathematics)en_ZA
dc.subjectScattering (Physics)en_ZA
dc.subjectCoordinate algebraen_ZA
dc.subjectThree-dimensional fuzzy spaceen_ZA
dc.titleScattering in a three-dimensional fuzzy spaceen_ZA
dc.typeArticleen_ZA
Files
Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
kriel_scattering_2017.pdf
Size:
264.42 KB
Format:
Adobe Portable Document Format
Description:
Download article
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
Research Articles (Physics)