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This article is cited in 5 scientific papers (total in 5 papers)
The correspondence principle in Abelian Lagrangian geometry
N. A. Tyurin Moscow State University of Transportation
Abstract:
We present a new idea of quantization of classical mechanical systems, which uses the constructions of [2], [7] and [1]. As a first step, we verify the correspondence between the Poisson brackets on the initial symplectic manifold and on the moduli space of half-weighted Bohr–Sommerfeld Lagrangian cycles of a fixed volume.
Received: 26.09.2000
Citation:
N. A. Tyurin, “The correspondence principle in Abelian Lagrangian geometry”, Izv. Math., 65:4 (2001), 823–834
Linking options:
https://www.mathnet.ru/eng/im353https://doi.org/10.1070/IM2001v065n04ABEH000353 https://www.mathnet.ru/eng/im/v65/i4/p191
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