Unified theory of Richardson-Gaudin integrability

理查森-高丁可积统一理论

• 批准号: DP150101294
• 负责人: A/Prof Jon Links
• 金额: $ 17.35万
• 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: 2015
• 资助国家: 澳大利亚
• 起止时间: 2015-01-01 至 2019-12-20
• 项目状态: 已结题
• 来源: https://dataportal.arc.gov.au/RGS/Web/Grants/DP150101294
• 关键词: Unified; theory; Richardson; Gaudin; integrability

Richardson-Gaudin systems form a class of mathematical models of interacting particles that serve as a foundation to understand important phenomena in modern physics. Being integrable, these quantum systems enable deep insights. They are tractable so as to allow for exact analysis, while being elaborate enough to exhibit complex physical properties, notably phase transitions. The international team of researchers aims to merge various approaches for analysing the integrability of such models. Successful outcomes are expected to produce inventive mathematical techniques, linking a diverse range of fields of current activity and growth. The resulting unified theory is expected to open the door to exciting and innovative pathways in mathematical physics research.

理查森-高丁系统形成了一类相互作用粒子的数学模型，作为理解现代物理学中重要现象的基础。这些量子系统是可积的，能够带来深刻的见解。它们易于处理，以便进行精确分析，同时足够精细，可以表现出复杂的物理性质，尤其是相变。国际研究团队的目标是融合各种方法来分析此类模型的可积性。成功的成果预计将产生创造性的数学技术，将当前活动和增长的各个领域联系起来。由此产生的统一理论有望为数学物理研究中令人兴奋和创新的途径打开大门。