| 書目名稱 | Classical Nonintegrability, Quantum Chaos | | 編輯 | Andreas Knauf,Yakov G. Sinai,Viviane Baladi | | 視頻video | http://file.papertrans.cn/228/227113/227113.mp4 | | 叢書名稱 | Oberwolfach Seminars | | 圖書封面 |  | | 描述 | Our DMV Seminar on ‘Classical Nonintegrability, Quantum Chaos‘ intended to introduce students and beginning researchers to the techniques applied in nonin- tegrable classical and quantum dynamics. Several of these lectures are collected in this volume. The basic phenomenon of nonlinear dynamics is mixing in phase space, lead- ing to a positive dynamical entropy and a loss of information about the initial state. The nonlinear motion in phase space gives rise to a linear action on phase space functions which in the case of iterated maps is given by a so-called transfer operator. Good mixing rates lead to a spectral gap for this operator. Similar to the use made of the Riemann zeta function in the investigation of the prime numbers, dynamical zeta functions are now being applied in nonlinear dynamics. In Chapter 2 V. Baladi first introduces dynamical zeta functions and transfer operators, illustrating and motivating these notions with a simple one-dimensional dynamical system. Then she presents a commented list of useful references, helping the newcomer to enter smoothly into this fast-developing field of research. Chapter 3 on irregular scattering and Chapter 4 on quantum chaos by A. | | 出版日期 | Book 1997 | | 關(guān)鍵詞 | Finite; Invariant; analysis; ergodic theory; function; geometry; mathematical physics; mathematics; nonlinea | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-0348-8932-2 | | isbn_softcover | 978-3-7643-5708-5 | | isbn_ebook | 978-3-0348-8932-2Series ISSN 1661-237X Series E-ISSN 2296-5041 | | issn_series | 1661-237X | | copyright | Springer Basel AG 1997 |
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