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.

牛顿力学提供了许多日常现象的非常准确的描述。 然而，物理学家认为，量子力学中有更基本的描述。因此，量子力学描述的量子力学描述是量子效应很小的系统，应像经典描述一样行为。在许多情况下，存在经典和量子描述的明确定义的数学模型。刚才提到的物理学会导致对这些模型的数学预测，这些预测可以被严格证明或否认。