| 書目名稱 | Yang–Baxter Deformation of 2D Non-Linear Sigma Models | | 副標題 | Towards Applications | | 編輯 | Kentaroh Yoshida | | 視頻video | http://file.papertrans.cn/1061/1060191/1060191.mp4 | | 概述 | Introduces a new method called Yang–Baxter deformation to perform integrable deformations systematically.Presents very recent progress in this method, not found in any similar book.Begins with the bas | | 叢書名稱 | SpringerBriefs in Mathematical Physics | | 圖書封面 |  | | 描述 | In mathematical physics, one of the fascinating issues is the study of integrable systems. In particular, non-perturbative techniques that have been developed have triggered significant insight for real physics. There are basically two notions of integrability:? classical integrability and? quantum integrability. In this book, the focus is on the former, classical integrability. When the system has a finite number of degrees of freedom, it has been well captured by the Arnold–Liouville theorem. However, when the number of degrees of freedom is infinite, as in classical field theories, the integrable structure is enriched profoundly. In fact, the study of classically integrable field theories has a long history and various kinds of techniques, including the classical inverse scattering method, which have been developed so far. In previously published books, these techniques have been collected and well described and are easy to find in traditional, standard textbooks.?.One of the intriguing subjects in classically integrable systems is the investigation of deformations preserving integrability. Usually, it is not considered systematic to perform such a deformation, and one must stud | | 出版日期 | Book 2021 | | 關(guān)鍵詞 | Classical integrability; Yang-Baxter equation; Classical r-matrix; Lax pair; Non-linear sigma model; part | | 版次 | 1 | | doi | https://doi.org/10.1007/978-981-16-1703-4 | | isbn_softcover | 978-981-16-1702-7 | | isbn_ebook | 978-981-16-1703-4Series ISSN 2197-1757 Series E-ISSN 2197-1765 | | issn_series | 2197-1757 | | copyright | The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. 2021 |
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