论文标题
拉格朗日纤维束的严格变形量化的新结构
A new construction of strict deformation quantization for Lagrangian fiber bundles
论文作者
论文摘要
我们给出了配备有适当拉格朗日纤维束结构的符号歧管的严格变形量化的新结构，其表示空间是通过几何量化获得的量子希尔伯特空间。该结构可以被视为“差分运算符和主符号之间对应关系的晶格近似”。我们分析了相应的形式变形量化。我们还研究了我们的构建与伯雷蛋白蛋白 - 与eplitz变形量化之间的关系。
We give a new construction of strict deformation quantization of symplectic manifolds equipped with a proper Lagrangian fiber bundle structure, whose representation spaces are the quantum Hilbert spaces obtained by geometric quantization. The construction can be regarded as a "lattice approximation of the correspondence between differential operators and principal symbols". We analyze the corresponding formal deformation quantization. We also investigate into relations between our construction and Berezin-Toeplitz deformation quantization.
