Mathematical studies in quantum dynamics

量子动力学的数学研究

• 批准号: 7901-2007
• 负责人: Sigal, Israel
• 金额: $ 4.15万
• 依托单位: University of Toronto
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2010
• 资助国家: 加拿大
• 起止时间: 2010-01-01 至 2011-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=450187
• 关键词: Mathematical; studies; quantum; dynamics

The evolution equations of nonrelativistic quantum physics were formulated in the first part of the 20th century in Nobel prize winning works of Schroedinger, Heisenberg, Dirac, von Neumann, Pauli and others. In the last 20 years mathematical theory of these equations has undergone revolutionary development. At the same time, partly forced by miniturization of electronic and communication devices, new powerful applications of the underlying physical phenomena have arisen. Suddenly, thousands of papers have appeared in Physics and Engineering literature applying these equations in traditionally 'classical' areas of communication, electronics and computing. This development has breathed new life into the well established fields of quantum optics, quantum information theory and theory of semiconductors and has given rise to the new fields of quantum devices and quantum computing.

非相对论性量子物理的演化方程是在世纪上半叶由薛定谔、海森堡、狄拉克、冯·诺依曼、泡利等人的诺贝尔获奖著作中建立起来的。在过去的20年里，这些方程的数学理论经历了革命性的发展。与此同时，部分由于电子和通信设备的小型化，基础物理现象的新的强大应用已经出现。突然间，物理学和工程学文献中出现了数千篇论文，将这些方程应用于传统的“经典”通信，电子和计算领域。这一发展为量子光学、量子信息理论和半导体理论等成熟领域注入了新的活力，并产生了量子器件和量子计算等新领域。