Algebraic approach to exactly soluble models for disordered systems

无序系统精确可溶模型的代数方法

• 批准号: DP0452097
• 负责人: Prof Ross McKenzie
• 金额: $ 15.33万
• 依托单位: The University of Queensland
• 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 2008-01-31
• 项目状态: 已结题
• 来源: https://dataportal.arc.gov.au/RGS/Web/Grants/DP0452097
• 关键词: Algebraic; approach; exactly; soluble; models

In nanoscience there are a diverse range of systems in which disorder, randomness, or noise can play a significant role. Examples range from quantum wires to qubits to unzipping DNA. Even the simplest mathematical models for systems in the presence of disorder have a rich mathematical structure because they can be formulated in terms of Lie algrebras or diffusion on a curved surface. The complementary physical and mathematical expertise of the two Chief Investigators is crucial to this project.

在纳米科学中，有各种各样的系统，在这些系统中，无序、随机性或噪声可以发挥重要作用。例子很多，从量子线到量子比特，再到解压DNA。 对于存在无序的系统，即使是最简单的数学模型也有丰富的数学结构，因为它们可以用李代数或曲面上的扩散表示。 两位首席调查员在物理和数学方面的互补专长对这一项目至关重要。