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dc.contributor.authorDeymier, P. A.
dc.contributor.authorRunge, K.
dc.contributor.authorVasseur, J. O.
dc.date.accessioned2017-03-13T23:35:59Z
dc.date.available2017-03-13T23:35:59Z
dc.date.issued2016-12
dc.identifier.citationGeometric phase and topology of elastic oscillations and vibrations in model systems: Harmonic oscillator and superlattice 2016, 6 (12):121801 AIP Advancesen
dc.identifier.issn2158-3226
dc.identifier.doi10.1063/1.4968608
dc.identifier.urihttp://hdl.handle.net/10150/622819
dc.description.abstractWe illustrate the concept of geometric phase in the case of two prototypical elastic systems, namely the one-dimensional harmonic oscillator and a one-dimensional binary superlattice. We demonstrate formally the relationship between the variation of the geometric phase in the spectral and wave number domains and the parallel transport of a vector field along paths on curved manifolds possessing helicoidal twists which exhibit non-conventional topology. (C) 2016 Author(s). All article content, except where otherwise noted, is licensed under a Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).
dc.description.sponsorshipNSF [1640860]en
dc.language.isoenen
dc.publisherAMER INST PHYSICSen
dc.relation.urlhttp://aip.scitation.org/doi/10.1063/1.4968608en
dc.rights© Author(s) 2016. All article content, except where otherwise noted, is licensed under a Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).en
dc.titleGeometric phase and topology of elastic oscillations and vibrations in model systems: Harmonic oscillator and superlatticeen
dc.typeArticleen
dc.contributor.departmentUniv Arizona, Dept Mat Sci & Engnen
dc.identifier.journalAIP Advancesen
dc.description.note12 month embargo; published online 23 November 2016.en
dc.description.collectioninformationThis item from the UA Faculty Publications collection is made available by the University of Arizona with support from the University of Arizona Libraries. If you have questions, please contact us at repository@u.library.arizona.edu.en
dc.eprint.versionFinal published versionen
refterms.dateFOA2017-11-24T00:00:00Z
html.description.abstractWe illustrate the concept of geometric phase in the case of two prototypical elastic systems, namely the one-dimensional harmonic oscillator and a one-dimensional binary superlattice. We demonstrate formally the relationship between the variation of the geometric phase in the spectral and wave number domains and the parallel transport of a vector field along paths on curved manifolds possessing helicoidal twists which exhibit non-conventional topology. (C) 2016 Author(s). All article content, except where otherwise noted, is licensed under a Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).


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