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arXiv math/0106004math.SGmath.DG
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ALAG -量化

ALAG - quantization

Nik. Tyurin

摘要:

提出了一种新的求解经典力学系统的方法。本文利用ALAG程序构造了半权定体积玻尔-索末菲拉格朗日循环的模空间,即量子相空间.“动力学对应”原理使得证明ALAG量子化满足狄拉克对应原理成为可能。该构造涉及分别使用复偏振和实偏振的两个已知量化。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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