Show simple item record

dc.contributor.authorGripaios, Benen
dc.contributor.authorSutherland, Daveen
dc.date.accessioned2016-03-11T10:33:36Z
dc.date.available2016-03-11T10:33:36Z
dc.date.issued2016en
dc.identifier.citationGripaios et al. Journal of Physics A (2016)en
dc.identifier.issn1751-8113
dc.identifier.urihttps://www.repository.cam.ac.uk/handle/1810/254399
dc.description.abstractWe consider the quantum version of Arnold’s generalisation of a rigid body in classical mechanics. Thus, we quantise the motion on an arbitrary Lie group manifold of a particle whose classical trajectories correspond to the geodesics of any one-sided-invariant metric. We show how the derivation of the spectrum of energy eigenstates can be simplified by making use of automorphisms of the Lie algebra and (for groups of Type I) by methods of harmonic analysis. We show how the method can be extended to cosets, generalising the linear rigid rotor. As examples, we consider all connected and simply-connected Lie groups up to dimension 3. This includes the universal cover of the archetypical rigid body, along with a number of new exactly-solvable models. We also discuss a possible application to the topical problem of quantising a perfect fluid.
dc.description.sponsorshipWe thank J. Davighi, J. Holgate, A. Lamacraft, C. Mouhot, M. Nardecchia, O. RandalWilliams, and R. Rattazzi for discussions. BG acknowledges the support of STFC (grant ST/L000385/1) and King’s College, Cambridge. DS also acknowledges the support of STFC, and Emmanuel College, Cambridge.
dc.languageEnglishen
dc.language.isoenen
dc.publisherInstitute of Physics Publishing
dc.titleQuantum mechanics of a generalised rigid bodyen
dc.typeArticle
dc.description.versionThis is the author accepted manuscript. It is currently under an indefinite embargo pending publication by the Institute of Physics Publishing.en
prism.publicationDate2016en
prism.publicationNameJournal of Physics Aen
dc.rioxxterms.funderSTFC
dc.rioxxterms.projectidST/L000385/1
dcterms.dateAccepted2016-03-07en
rioxxterms.licenseref.urihttp://www.rioxx.net/licenses/all-rights-reserveden
rioxxterms.licenseref.startdate2016en
dc.contributor.orcidGripaios, Ben [0000-0003-2835-2713]
dc.identifier.eissn1751-8121
rioxxterms.typeJournal Article/Reviewen
pubs.funder-project-idSTFC (ST/K001728/1)
pubs.funder-project-idSTFC (ST/L000385/1)
rioxxterms.freetoread.startdate2017-04-01


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record