Problems with laplace operator on topological surfaces

Problems with laplace operator on topological surfaces

This work highlights the problems related to the Laplace operator on topological surfaces such as Mobius strip, Klein bottle and torus. In particular, we discuss oscillations on the surface of the Mobius strip, eigenfunctions and eigenvalues of the Laplace operator on the surface of the Klein bottle...

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Veröffentlicht in:Vestnik Samarskogo gosudarstvennogo tehničeskogo universiteta. Seriâ Fiziko-matematičeskie nauki 2011-06, Vol.15 (2), p.243-250
Hauptverfasser: Mikhail Y Shalaginov, Mikhail G Ivanov, Mikhail V Dolgopolov
Format: Artikel
Sprache:eng ; rus
Schlagworte:
klein bottle
laplace operator
mobius strip
non-euclidean topological spaces
quantization
quantum physics
torus
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Beschreibung
Zusammenfassung:This work highlights the problems related to the Laplace operator on topological surfaces such as Mobius strip, Klein bottle and torus. In particular, we discuss oscillations on the surface of the Mobius strip, eigenfunctions and eigenvalues of the Laplace operator on the surface of the Klein bottle, as well as behavior of a charged particle on the torus.
ISSN:1991-8615
2310-7081
DOI:10.14498/vsgtu877