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001			21937151
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006			m |o d |
007			cr |||||||||||
008			190218s2018 gw |||| o |||| 0|eng
010			_a 2019768175
020			_a9783642263309 (Pbk)
024	7		_a10.1007/978-3-319-97580-1 _2doi
035			_a(DE-He213)978-3-319-97580-1
040			_aDLC _beng _epn _erda _cIISERB
072		7	_aPHQ _2bicssc
072		7	_aPHQ _2thema
072		7	_aSCI057000 _2bisacsh
082	0	4	_a530.12 H111Q3 _223
100	1		_aHaake, Fritz. _929988
245	1	0	_aQuantum Signatures of Chaos _cby Fritz Haake, Sven Gnutzmann, Marek Kuś.
250			_a3rd ed. Revised.
260			_aHeidelberg: _bSpringer, _c2010.
300			_aXXVI, 659 pages 96 illustrations, 18 illustrations in color.
490	1		_aSpringer Series in Synergetics, _x0172-7389
505	0		_aIntroduction -- Time Reversal and Unitary Symmetries -- Level Repulsion -- Level Clustering -- Random-Matrix Theory -- Supersymmetry and Sigma Model for Random Matrices -- Ballistic Sigma Model for Individual Unitary Maps and Graphs -- Quantum Localization -- Classical Hamiltonian Chaos -- Semiclassical Roles for Classical Orbits -- Level Dynamics -- Dissipative Systems.
520			_aThis by now classic text provides an excellent introduction to and survey of the still-expanding field of quantum chaos. For this long-awaited fourth edition, the original text has been thoroughly modernized. The topics include a brief introduction to classical Hamiltonian chaos, a detailed exploration of the quantum aspects of nonlinear dynamics, quantum criteria used to distinguish regular and irregular motion, and antiunitary (generalized time reversal) and unitary symmetries. The standard Wigner-Dyson symmetry classes, as well as the non-standard ones introduced by Altland and Zirnbauer, are investigated and illustrated with numerous examples. Random matrix theory is presented in terms of both classic methods and the supersymmetric sigma model. The power of the latter method is revealed by applications outside random-matrix theory, such as to quantum localization, quantum graphs, and universal spectral fluctuations of individual chaotic dynamics. The equivalence of the sigma model and Gutzwiller's semiclassical periodic-orbit theory is demonstrated. Last but not least, the quantum mechanics of dissipative chaotic systems are also briefly described. Each chapter is accompanied by a selection of problems that will help newcomers test and deepen their understanding, and gain a firm command of the methods presented.
650		0	_aPhysics. _929989
650		0	_aQuantum physics. _929990
650		0	_aStatistical physics. _929991
650	1	4	_aQuantum Physics. _929992
650	2	4	_aApplications of Nonlinear Dynamics and Chaos Theory. _929993
650	2	4	_aMathematical Methods in Physics. _929994
650	2	4	_aStatistical Physics and Dynamical Systems. _929995
700	1		_aKuś, Marek, _eauthor. _929997
776	0	8	_iPrint version: _tQuantum signatures of chaos _z9783319975795 _w(DLC) 2018953566
776	0	8	_iPrinted edition: _z9783319975795
776	0	8	_iPrinted edition: _z9783319975818
830		0	_aSpringer Series in Synergetics, _929998
906			_a0 _bibc _corigres _du _encip _f20 _gy-gencatlg
942			_2ddc _cBK
999			_c10245 _d10245