Dynamical correspondence in algebraic Lagrangian geometry
Dynamical correspondence in algebraic Lagrangian geometry
复制标题
代数拉格朗日几何中的动力学对应
DOI：
10.1070/im2002v066n03abeh000391
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发表时间：
2002
期刊：
影响因子：
--
通讯作者：
N. Tyurin
中科院分区：
文献类型：
--
作者：
N. Tyurin
本文是[12]的继续，我们发展了将Abel Lagrangian代数几何(见[3]，[4]，[10]，[11])应用于几何量子化的思想。狄拉克对应原理适用于这种ALG(A)量子化。涉及实极化或复极化选择的已知几何量化模型被表示为所提出的量化的简化(或线性化)。这使我们能够将使用偏振的已知结构的结果联系起来。
In this paper, which is a continuation of [12], we develop the idea of applying Abelian Lagrangian algebraic geometry (see [3], [4], [10], [11]) to geometric quantization. The Dirac correspondence principle holds for this ALG(a)-quantization. The known models of geometric quantization involving the choice of real or complex polarizations are presented as reductions (or linearizations) of the proposed quantization. This enables us to link the results of known constructions that use polarizations.