Geometry of Yang-Mills Fields pdf epub mobi txt 电子书下载 2025

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出版者:Edizioni della Normale

作者:Michael F. Atiyah

出品人:

页数:98

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出版时间:2007-07-01

价格:USD 24.95

装帧:Paperback

isbn号码:9788876423031

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图书标签:

数学
微分几何
Math
Atiyah
Geometry
英国
物理學
物理-场论

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These Lecture Notes are an expanded version of the Fermi Lectures Atiyah gave at Scuola Normale Superiore in Pisa, the Loeb Lectures at Harvard and the Whittemore Lectures at Yale, in 1978. In all cases he was addressing a mixed audience of mathematicians and physicists and the presentation had to be tailored accordingly. Throughout, Atiyah presented the mathematical material in a somewhat unorthodox order, following a pattern which he felt would relate the new techniques to familiar ground for physicists.

The main new results presented in the lectures, namely the construction of all multi-istanton solutions of Yang-Mills fields, is the culmination of several years of fruitful interaction between many physicists and mathematicians. The major breakthrough came with the observation by Ward that the complex methods developed by Penrose in his “twistor programme” were ideally suited to the study of the Yang-Mills equations. The instanton problem was then seen to be equivalent to a problem in complex analysis and to one in algebraic geometry. Using the powerful methods of modern algebraic geometry it was not long before the problem was finally solved.

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1948年的春天，物理学家们在Pennsylvania的Pocono Mountain举行了一次盛会。会议由Oppenheimer主持，与会者包括Bohr父子, Dirac, Fermi, von Neumann, Wigner, Teller, Bethe等巨擘，主角却是当时初露峥嵘的Schwinger和Feynman. 两人都试图介绍他们在量子电动力学方面的新想法...

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