Optical simulation of quantum mechanics on the Mobius strip, Klein's bottle and other manifolds, and Talbot effect

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dc.contributor.authorBělín, Jakubcs
dc.contributor.authorTyc, Tomášcs
dc.contributor.authorHorsley, Simon A. R.cs
dc.coverage.issue3cs
dc.coverage.volume23cs
dc.date.issued2021-03-01cs
dc.description.abstractWe analyse the evolution of the wavefunction of a quantum particle propagating on several compact manifolds, including the Klein bottle, Mobius strip and projective plane. We find analytically the stationary states and the energy spectrum and show that the wavefunction exhibits perfect revivals. Using the orbifold structure of the discussed manifolds, we establish the relation of wave evolution on the manifolds to Fresnel diffraction and consequently to the Talbot effect. This connection provides a novel method of optical simulation of the quantum motion on compact manifolds. We discuss some novel phenomena as well as the effects of topology on the properties of the waves on the manifolds.en
dc.formattextcs
dc.format.extent1-11cs
dc.format.mimetypeapplication/pdfcs
dc.identifier.citationNEW JOURNAL OF PHYSICS. 2021, vol. 23, issue 3, p. 1-11.en
dc.identifier.doi10.1088/1367-2630/abe445cs
dc.identifier.issn1367-2630cs
dc.identifier.other173122cs
dc.identifier.urihttp://hdl.handle.net/11012/204089
dc.language.isoencs
dc.publisherIOP Publishingcs
dc.relation.ispartofNEW JOURNAL OF PHYSICScs
dc.relation.urihttps://iopscience.iop.org/article/10.1088/1367-2630/abe445cs
dc.rightsCreative Commons Attribution 4.0 Internationalcs
dc.rights.accessopenAccesscs
dc.rights.sherpahttp://www.sherpa.ac.uk/romeo/issn/1367-2630/cs
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/cs
dc.subjectcurved spacesen
dc.subjectquantum revivalsen
dc.subjectTalbot effecten
dc.subjecttopologyen
dc.subjectorbifoldsen
dc.titleOptical simulation of quantum mechanics on the Mobius strip, Klein's bottle and other manifolds, and Talbot effecten
dc.type.driverarticleen
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen
sync.item.dbidVAV-173122en
sync.item.dbtypeVAVen
sync.item.insts2025.02.03 15:50:42en
sync.item.modts2025.01.17 16:51:11en
thesis.grantorVysoké učení technické v Brně. Středoevropský technologický institut VUT. Experimentální biofotonikacs
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