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Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]:
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Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, 2011, Issue 2(23), Pages 243–250
DOI: https://doi.org/10.14498/vsgtu877 (Mi vsgtu877) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Procedings of the 2nd International Conference "Mathematical Physics and its Applications"
Theoretical and Mathematical Physics

Problems with Laplace operator on topological surfaces

M. Y. Shalaginova, M. G. Ivanovb, M. V. Dolgopolovc

a School of Electrical and Computer Engineering, Purdue University, West Lafayette, 47907 Indiana, USA
b Dept. of Theoretical Physics, Moscow Institute of Physics and Technology, Dolgoprudny, Moscow Region
c Dept. of General and Theoretical Physics, Samara State University, Samara
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DOI: https://doi.org/10.14498/vsgtu877
Abstract: 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.
Keywords: quantum physics, non-Euclidean topological spaces, quantization, Laplace operator, Mobius strip, Klein bottle, torus.
Original article submitted 20/XII/2010
revision submitted – 20/V/2011
Bibliographic databases:
Document Type: Proceedings
UDC: 517.954
MSC: 35R01
Language: Russian
Citation: M. Y. Shalaginov, M. G. Ivanov, M. V. Dolgopolov, “Problems with Laplace operator on topological surfaces”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2(23) (2011), 243–250
Citation in format AMSBIB
\Bibitem{ShaIvaDol11}
\by M.~Y.~Shalaginov, M.~G.~Ivanov, M.~V.~Dolgopolov
\paper Problems with Laplace operator on~topological~surfaces
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2011
\vol 2(23)
\pages 243--250
\mathnet{http://mi.mathnet.ru/vsgtu877}
\crossref{https://doi.org/10.14498/vsgtu877}
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  • https://www.mathnet.ru/eng/vsgtu/v123/p243
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Вестник Самарского государственного технического университета. Серия: Физико-математические науки
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    Full-text PDF :352
    References:84
    First page:1
     
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