Quantum Signatures of Chaos

Fritz Haake (Autor)

Buch | Hardcover

XXIV, 576 Seiten

2010 | 3rd ed. 2010
Springer Berlin (Verlag)
978-3-642-05427-3 (ISBN)

Infos

Nine years have passed since I dispatched the second edition, and the book still appears to be in demand. The time may be ripe for an update. As the perhaps most conspicable extension, I describe the understanding of u- versal spectral ?uctuations recently reached on the basis of periodic-orbit theory. To make the presentation of those semiclassical developments selfcontained, I decided to to underpin them by a new short chapter on classical Hamiltonian mechanics. Inasmuch as the semiclassical theory not only draws inspiration from the nonlinear sigma model but actually aims at constructing that model in terms of periodic orbits, it appeared indicated to make small additions to the previous treatment within the chapter on superanalysis. Less voluminous but as close to my heart are additions to the chapter on level dynamics which close previous gaps in that approach to spectral universality. It was a pleasant duty to pay my respect to collegues in our Transregio- Sonderforschungsbereich, Martin Zirnbauer, Alex Altland, Alan Huckleberry, and Peter Heinzner, by including a short account of their beautiful work on nonstandard symmetry classes. The chapter on random matrices has not been expanded in proportion to the development of the ?eld but now includes an up-to-date treatment of an old topic in algebra, Newton’s relations, to provide a background to the Riemann-Siegel loo- like of semiclassical periodic-orbit theory.

Inhalt

Time Reversal and Unitary Symmetries.- Level Repulsion.- Random-Matrix Theory.- Level Clustering.- Level Dynamics.- Quantum Localization.- Dissipative Systems.- Classical Hamiltonian Chaos.- Semiclassical Roles for Classical Orbits.- Superanalysis for Random-Matrix Theory.

Produkt-Details

• Erscheint lt. Verlag: 5.5.2010
• Reihe/Serie: Springer Series in Synergetics ; 54
• Zusatzinfo: XXIV, 576 p. 1 illus. in color.
• Verlagsort: Berlin
• Sprache: englisch
• Maße: 155 x 235 mm
• Gewicht: 1034 g
• Themenwelt: Naturwissenschaften ► Physik / Astronomie ► Astronomie / Astrophysik
• Themenwelt: Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik
• Themenwelt: Naturwissenschaften ► Physik / Astronomie ► Thermodynamik
• Schlagworte: Chaos • classical Hamiltonian chaos • Clustering • Dissipative Systems • level dynamics • linear optimization • matrix theory • Mechanics • Quanten • Quantum Chaos • quantum localization • quantum mechanics • quantum time evolution • random matrices • universal spectral fluctuations
• ISBN-10: 3-642-05427-7 / 3642054277
• ISBN-13: 978-3-642-05427-3 / 9783642054273
• Zustand: Neuware