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

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

We analyse the evolution of the wavefunction of a quantum particle propagating on several compact manifolds, including the Klein bottle, Möbius strip and projective plane. We find analytically the stationary states and the energy spectrum and show that the wavefunction exhibits perfect revivals. Usi...

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Bibliographic Details
Main Authors: J Bělín, T Tyc, S A R Horsley
Format: Article
Language:English
Published: IOP Publishing 2021-01-01
Series:New Journal of Physics
Subjects:
curved spaces
quantum revivals
Talbot effect
topology
orbifolds
Online Access:https://doi.org/10.1088/1367-2630/abe445

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