ALAG - quantization
辛几何
2007-05-23 v1 微分几何
摘要
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.
引用
@article{arxiv.math/0106004,
title = {ALAG - quantization},
author = {Nik. Tyurin},
journal= {arXiv preprint arXiv:math/0106004},
year = {2007}
}
备注
20 pages AMStex without figures