Geometric methods in quantum theory.

量子理论中的几何方法。

• 批准号: DP0449470
• 负责人: Prof Alan Carey
• 金额: $ 16.71万
• 依托单位: The Australian National University
• 依托单位国家: 澳大利亚
• 项目类别: Discovery Projects
• 财政年份: 2004
• 资助国家: 澳大利亚
• 起止时间: 2004-01-01 至 2007-12-31
• 项目状态: 已结题
• 来源: https://dataportal.arc.gov.au/RGS/Web/Grants/DP0449470
• 关键词: Geometric; methods; quantum; theory.

Quantum theory is the fundamental language of physics, it describes the small scale structure of matter and possibly space-time. The advent of sophisticated models, particularly of quarks has emphasised geometric structure as a basic component of the theory. The issues thrown up by quantum theory are similar to problems encountered in the geometry of manifolds so that tools from the latter have been successfully employed in the former and vice-versa. Previous work of the Chief Investigators has shown the importance of geometric structures known as gerbes which this Project will extend and apply in novel ways.

量子理论是物理学的基本语言，它描述了物质以及可能的时空的小尺度结构。 复杂模型（特别是夸克模型）的出现强调了几何结构作为理论的基本组成部分。 量子理论提出的问题与流形几何中遇到的问题类似，因此后者的工具已成功应用于前者，反之亦然。 首席研究员之前的工作已经表明了被称为非洲菊的几何结构的重要性，该项目将以新颖的方式扩展和应用它。