Spectrum of the Möbius strip: true, fake and not-so-fake | Vidéo | Carmin.tv

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Spectrum of the Möbius strip: true, fake and not-so-fake

By David Krejcirik

Möbius strip

Appears in collection : Shape Optimization, Spectral Geometry and Calculus of Variations / Optimisation de forme, géométrie spectrale et calcul des variations

The Laplace–Beltrami operator in the curved Möbius strip is investigated in the limit when the width of the strip tends to zero. By establishing a norm-resolvent convergence, it is shown that spectral properties of the operator are approximated well by an unconventional flat model whose spectrum can be computed explicitly in terms of Mathieu functions. Contrary to the traditional flat Möbius strip, our effective model contains a geometric potential. A comparison of the three models is made and analytical results are accompanied by numerical computations.

Information about the video

Date of recording 30/03/2021
Date of publication 20/04/2021
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.19738303
Cite this video Krejcirik, David (30/03/2021). Spectrum of the Möbius strip: true, fake and not-so-fake. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19738303
URL https://dx.doi.org/10.24350/CIRM.V.19738303

Domain(s)

Bibliography

KALVODA, Tomáš, KREJČIŘÍK, D., et ZAHRADOVA, Katerina. Effective quantum dynamics on the Möbius strip. Journal of Physics A: Mathematical and Theoretical, 2020, vol. 53, no 37, p. 375201. - https://doi.org/10.1088/1751-8121/ab8b3a

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