Enviar artigo por via de e-mail Lagrangian Tori and Quantization Conditions Corresponding to Spectral Series of the Laplace Operator on a Surface of Revolution with Conical Points
- Autores: Shafarevich A.I.1,2,3,4
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Afiliações:
- Faculty of Mechanics and Mathematics
- Moscow Institute of Physics and Technology (State University)
- Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences
- National Research Center “Kurchatov Institute”
- Edição: Volume 307, Nº 1 (2019)
- Páginas: 294-302
- Seção: Article
- URL: https://journals.rcsi.science/0081-5438/article/view/175965
- DOI: https://doi.org/10.1134/S008154381906018X
- ID: 175965
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Resumo
Semiclassical spectral series of the Laplace operator on a two-dimensional surface of revolution with a conical point are described. It is shown that in many cases asymptotic eigenvalues can be calculated from the quantization conditions on special Lagrangian tori, with the Maslov index of such tori being replaced by a real invariant expressed in terms of the cone apex angle.
Sobre autores
A. Shafarevich
Faculty of Mechanics and Mathematics; Moscow Institute of Physics and Technology (State University); Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences; National Research Center “Kurchatov Institute”
Autor responsável pela correspondência
Email: shafarev@yahoo.com
Rússia, Moscow, 119991; Institutskii per. 9, Dolgoprudnyi, Moscow oblast, 141701; pr. Vernadskogo 101-1, Moscow, 119526; pl. Akademika Kurchatova 1, Moscow, 123182
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