Groupoids and Geometric Quantization

群曲面和几何量化

• 批准号: RGPIN-2015-05833
• 负责人: Krepski, Derek
• 金额: $ 0.95万
• 依托单位: University of Manitoba
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2015
• 资助国家: 加拿大
• 起止时间: 2015-01-01 至 2016-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=590670
• 关键词: Groupoids; Geometric; Quantization

The mathematical models underlying classical mechanics and quantum mechanics are very different. Indeed, classical mechanics describes physical laws on a large scale (e.g. laws of motion for a swinging pendulum, planetary orbits, etc.) and is mathematically rooted in differential geometry, an extension of calculus to more general spaces that allow for curvature and higher dimensions. In contrast, quantum mechanics describes the physical laws on a subatomic scale and is rooted in the language of

经典力学和量子力学的数学模型是非常不同的。事实上，经典力学描述了大尺度上的物理定律（例如摆动摆的运动定律、行星轨道等）它在数学上植根于微分几何，这是微积分在更一般的空间中的延伸，允许曲率和更高的维度。相比之下，量子力学描述的是亚原子尺度上的物理定律，