Email this article Lagrangian Tori and Quantization Conditions Corresponding to Spectral Series of the Laplace Operator on a Surface of Revolution with Conical Points
- Authors: Shafarevich A.I.1,2,3,4
-
Affiliations:
- 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”
- Issue: Vol 307, No 1 (2019)
- Pages: 294-302
- Section: Article
- URL: https://journals.rcsi.science/0081-5438/article/view/175965
- DOI: https://doi.org/10.1134/S008154381906018X
- ID: 175965
Cite item
Open Access
Access granted
Subscription Access
Abstract
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.
About the authors
A. I. 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”
Author for correspondence.
Email: shafarev@yahoo.com
Russian Federation, Moscow, 119991; Institutskii per. 9, Dolgoprudnyi, Moscow oblast, 141701; pr. Vernadskogo 101-1, Moscow, 119526; pl. Akademika Kurchatova 1, Moscow, 123182
