Maslov’s canonical operator in arbitrary coordinates on the Lagrangian manifold
- Authors: Dobrokhotov S.Y.1,2, Nazaikinskii V.E.1,2, Shafarevich A.I.2,3
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Affiliations:
- Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences
- Moscow Institute of Physics and Technology (Technical University)
- Faculty of Mechanics and Mathematics
- Issue: Vol 93, No 1 (2016)
- Pages: 99-102
- Section: Mathematical Physics
- URL: https://journal-vniispk.ru/1064-5624/article/view/223419
- DOI: https://doi.org/10.1134/S1064562416010300
- ID: 223419
Cite item
Abstract
We present the construction of the Maslov canonical operator adapted to an arbitrary coordinate system on the corresponding Lagrangian manifold. The construction does not require any additional choice of the phase function.
About the authors
S. Yu. Dobrokhotov
Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences; Moscow Institute of Physics and Technology (Technical University)
Author for correspondence.
Email: dobr@ipmnet.ru
Russian Federation, Moscow; Dolgoprudnyi, Moscow oblast
V. E. Nazaikinskii
Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences; Moscow Institute of Physics and Technology (Technical University)
Email: dobr@ipmnet.ru
Russian Federation, Moscow; Dolgoprudnyi, Moscow oblast
A. I. Shafarevich
Moscow Institute of Physics and Technology (Technical University); Faculty of Mechanics and Mathematics
Email: dobr@ipmnet.ru
Russian Federation, Dolgoprudnyi, Moscow oblast; Moscow
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