| 書目名稱 | Functional Integration | | 副標題 | Basics and Applicati | | 編輯 | Cecile DeWitt-Morette,Pierre Cartier,Antoine Folac | | 視頻video | http://file.papertrans.cn/350/349722/349722.mp4 | | 叢書名稱 | NATO Science Series B: | | 圖書封面 |  | | 描述 | The program of the Institute covered several aspects of functional integration -from a robust mathematical foundation to many applications, heuristic and rigorous, in mathematics, physics, and chemistry. It included analytic and numerical computational techniques. One of the goals was to encourage cross-fertilization between these various aspects and disciplines. The first week was focused on quantum and classical systems with a finite number of degrees of freedom; the second week on field theories. During the first week the basic course, given by P. Cartier, was a presentation of a recent rigorous approach to functional integration which does not resort to discretization, nor to analytic continuation. It provides a definition of functional integrals simpler and more powerful than the original ones. Could this approach accommodate the works presented by the other lecturers? Although much remains to be done before answering "Yes," there seems to be no major obstacle along the road. The other courses taught during the first week presented: a) a solid introduction to functional numerical techniques (A. Sokal) and their applications to functional integrals encountered in chemistry (N. | | 出版日期 | Book 1997 | | 關(guān)鍵詞 | Monte Carlo method; algorithms; dynamics; gauge theory; mathematics; mechanics; physics; quantum theory; top | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-4899-0319-8 | | isbn_softcover | 978-1-4899-0321-1 | | isbn_ebook | 978-1-4899-0319-8Series ISSN 0258-1221 | | issn_series | 0258-1221 | | copyright | Springer Science+Business Media New York 1997 |
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