| 書目名稱 | Unstable Systems | | 編輯 | Lawrence Horwitz,Yosef Strauss | | 視頻video | http://file.papertrans.cn/943/942507/942507.mp4 | | 概述 | Addresses unstable systems from the classical and the quantum point of view providing a deeper level of understanding.Extends the work of Lax and Phillips for classical wave systems to quantum systems | | 叢書名稱 | Mathematical Physics Studies | | 圖書封面 |  | | 描述 | .This book focuses on unstable systems both from the classical and the quantum mechanical points of view and studies the relations between them. The first part deals with quantum systems. Here?the main generally used methods today, such as the Gamow approach, and the Wigner-Weisskopf method, are critically discussed. The quantum? mechanical Lax-Phillips theory developed by the authors, based on the dilation theory of Nagy and Foias?and its more general extension to approximate semigroup evolution is explained..The second part provides a description of approaches to classical stability analysis and introduces geometrical methods recently developed by the authors, which are shown to be highly effective in diagnosing instability and, in many cases, chaotic behavior.?It is? then shown that,?in the framework of??the theory of symplectic?manifolds, there is a systematic?algorithm for the construction of a canonical transformation?of any standard potential model Hamiltonian to geometric form, making accessible powerful geometric methods for?stability analysis in?a wide range of applications.. | | 出版日期 | Book 2020 | | 關(guān)鍵詞 | unstable quantum system; Gamow approach; Wigner-Weisskopf formulation; rigged Hilbert spaces; Gel‘fand t | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-030-31570-2 | | isbn_softcover | 978-3-030-31572-6 | | isbn_ebook | 978-3-030-31570-2Series ISSN 0921-3767 Series E-ISSN 2352-3905 | | issn_series | 0921-3767 | | copyright | Springer Nature Switzerland AG 2020 |
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