Maslov’s canonical operator in arbitrary coordinates on the Lagrangian manifold


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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.

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S. Dobrokhotov

Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences; Moscow Institute of Physics and Technology (Technical University)

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Email: dobr@ipmnet.ru
俄罗斯联邦, Moscow; Dolgoprudnyi, Moscow oblast

V. 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
俄罗斯联邦, Moscow; Dolgoprudnyi, Moscow oblast

A. Shafarevich

Moscow Institute of Physics and Technology (Technical University); Faculty of Mechanics and Mathematics

Email: dobr@ipmnet.ru
俄罗斯联邦, Dolgoprudnyi, Moscow oblast; Moscow

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