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ALAG - quantization

Nik. Tyurin
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Abstract

This paper proposes a new way to quantize classical mechanical systems. Here we use ALAG - programme to construct moduli space of half weighted Bohr - Sommerfeld lagrangian cycles of fixed volume which is our quantum phase space. "Dynamical correspondence" principle makes possible to prove that this ALAG - quantization satisfies the Dirac correspondence principle. This construction relates two known quantizations using complex and real polarizations respectively.

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Nik. Tyurin. 2001-06-01. ALAG - quantization. https://arxiv.org/abs/math/0106004

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