Automorphic forms and geometric group theory

自守形式和几何群论

• 批准号: 355528-2008
• 负责人: Silberman, Lior
• 金额: $ 1.02万
• 依托单位: University of British Columbia
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2012
• 资助国家: 加拿大
• 起止时间: 2012-01-01 至 2013-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=503628
• 关键词: Automorphic; forms; geometric; group; theory

Newtonian mechanics provides a very accurate description of many everyday phenomena. Nevertheless, physicists believe that a more fundamental description is available in quantum mechanics. It follows that the quantum-mechanical description of a system in which quantum effects are small should behave like the classical description. In many cases, well-defined mathematical models of the classical and quantum descriptions exist. The physics just mentioned leads to mathematical predictions about these models, predictions which can be proven or disproven rigorously.

牛顿力学对许多日常现象提供了非常精确的描述。然而，物理学家相信量子力学中有更基本的描述。由此可见，量子效应较小的系统的量子力学描述应该与经典描述相似。在许多情况下，存在经典和量子描述的良好定义的数学模型。刚才提到的物理学导致了对这些模型的数学预测，这些预测可以被严格地证明或证伪。