Quantum Signatures of Chaos

Download Quantum Signatures of Chaos PDF Online Free

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 3662045060
Total Pages : 491 pages
Book Rating : 4.6/5 (62 download)

DOWNLOAD NOW!


Book Synopsis Quantum Signatures of Chaos by : Fritz Haake

Download or read book Quantum Signatures of Chaos written by Fritz Haake and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 491 pages. Available in PDF, EPUB and Kindle. Book excerpt: This classic text provides an excellent introduction to a new and rapidly developing field of research. Now well established as a textbook in this rapidly developing field of research, the new edition is much enlarged and covers a host of new results.

Quantum Signatures of Chaos

Download Quantum Signatures of Chaos PDF Online Free

Author :
Publisher : Springer
ISBN 13 : 3319975803
Total Pages : 659 pages
Book Rating : 4.3/5 (199 download)

DOWNLOAD NOW!


Book Synopsis Quantum Signatures of Chaos by : Fritz Haake

Download or read book Quantum Signatures of Chaos written by Fritz Haake and published by Springer. This book was released on 2019-02-18 with total page 659 pages. Available in PDF, EPUB and Kindle. Book excerpt: This classic text provides an excellent introduction to a new and rapidly developing field of research. Now well established as a textbook in this rapidly developing field of research, the new edition is much enlarged and covers a host of new results.

Quantum Chaos and Mesoscopic Systems

Download Quantum Chaos and Mesoscopic Systems PDF Online Free

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 9780792344599
Total Pages : 362 pages
Book Rating : 4.3/5 (445 download)

DOWNLOAD NOW!


Book Synopsis Quantum Chaos and Mesoscopic Systems by : N.E. Hurt

Download or read book Quantum Chaos and Mesoscopic Systems written by N.E. Hurt and published by Springer Science & Business Media. This book was released on 1997-02-28 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: 4. 2 Variance of Quantum Matrix Elements. 125 4. 3 Berry's Trick and the Hyperbolic Case 126 4. 4 Nonhyperbolic Case . . . . . . . 128 4. 5 Random Matrix Theory . . . . . 128 4. 6 Baker's Map and Other Systems 129 4. 7 Appendix: Baker's Map . . . . . 129 5 Error Terms 133 5. 1 Introduction. . . . . . . . . . . . . . . . . . . . . . . 133 5. 2 The Riemann Zeta Function in Periodic Orbit Theory 135 5. 3 Form Factor for Primes . . . . . . . . . . . . . . . . . 137 5. 4 Error Terms in Periodic Orbit Theory: Co-compact Case. 138 5. 5 Binary Quadratic Forms as a Model . . . . . . . . . . . . 139 6 Co-Finite Model for Quantum Chaology 141 6. 1 Introduction. . . . . . . . 141 6. 2 Co-finite Models . . . . . 141 6. 3 Geodesic Triangle Spaces 144 6. 4 L-Functions. . . . . . . . 145 6. 5 Zelditch's Prime Geodesic Theorem. 146 6. 6 Zelditch's Pseudo Differential Operators 147 6. 7 Weyl's Law Generalized 148 6. 8 Equidistribution Theory . . . . . . . . . 150 7 Landau Levels and L-Functions 153 7. 1 Introduction. . . . . . . . . . . . . . . . . . . . . . . 153 7. 2 Landau Model: Mechanics on the Plane and Sphere. 153 7. 3 Landau Model: Mechanics on the Half-Plane 155 7. 4 Selberg's Spectral Theorem . . . . . . . . . . . 157 7. 5 Pseudo Billiards . . . . . . . . . . . . . . . . . 158 7. 6 Landau Levels on a Compact Riemann Surface 159 7. 7 Automorphic Forms . . . . . 160 7. 8 Maass-Selberg Trace Formula 162 7. 9 Degeneracy by Selberg. . . . 163 7. 10 Hecke Operators . . . . . . . 163 7. 11 Selberg Trace Formula for Hecke Operators 167 7. 12 Eigenvalue Statistics on X . . . . 169 7. 13 Mesoscopic Devices. . . . . . . . 170 7. 14 Hall Conductance on Leaky Tori 170 7.

Quantum Chaos and Mesoscopic Systems

Download Quantum Chaos and Mesoscopic Systems PDF Online Free

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 9401587922
Total Pages : 350 pages
Book Rating : 4.4/5 (15 download)

DOWNLOAD NOW!


Book Synopsis Quantum Chaos and Mesoscopic Systems by : N.E. Hurt

Download or read book Quantum Chaos and Mesoscopic Systems written by N.E. Hurt and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: 4. 2 Variance of Quantum Matrix Elements. 125 4. 3 Berry's Trick and the Hyperbolic Case 126 4. 4 Nonhyperbolic Case . . . . . . . 128 4. 5 Random Matrix Theory . . . . . 128 4. 6 Baker's Map and Other Systems 129 4. 7 Appendix: Baker's Map . . . . . 129 5 Error Terms 133 5. 1 Introduction. . . . . . . . . . . . . . . . . . . . . . . 133 5. 2 The Riemann Zeta Function in Periodic Orbit Theory 135 5. 3 Form Factor for Primes . . . . . . . . . . . . . . . . . 137 5. 4 Error Terms in Periodic Orbit Theory: Co-compact Case. 138 5. 5 Binary Quadratic Forms as a Model . . . . . . . . . . . . 139 6 Co-Finite Model for Quantum Chaology 141 6. 1 Introduction. . . . . . . . 141 6. 2 Co-finite Models . . . . . 141 6. 3 Geodesic Triangle Spaces 144 6. 4 L-Functions. . . . . . . . 145 6. 5 Zelditch's Prime Geodesic Theorem. 146 6. 6 Zelditch's Pseudo Differential Operators 147 6. 7 Weyl's Law Generalized 148 6. 8 Equidistribution Theory . . . . . . . . . 150 7 Landau Levels and L-Functions 153 7. 1 Introduction. . . . . . . . . . . . . . . . . . . . . . . 153 7. 2 Landau Model: Mechanics on the Plane and Sphere. 153 7. 3 Landau Model: Mechanics on the Half-Plane 155 7. 4 Selberg's Spectral Theorem . . . . . . . . . . . 157 7. 5 Pseudo Billiards . . . . . . . . . . . . . . . . . 158 7. 6 Landau Levels on a Compact Riemann Surface 159 7. 7 Automorphic Forms . . . . . 160 7. 8 Maass-Selberg Trace Formula 162 7. 9 Degeneracy by Selberg. . . . 163 7. 10 Hecke Operators . . . . . . . 163 7. 11 Selberg Trace Formula for Hecke Operators 167 7. 12 Eigenvalue Statistics on X . . . . 169 7. 13 Mesoscopic Devices. . . . . . . . 170 7. 14 Hall Conductance on Leaky Tori 170 7.

Chaos in Classical and Quantum Mechanics

Download Chaos in Classical and Quantum Mechanics PDF Online Free

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 1461209838
Total Pages : 445 pages
Book Rating : 4.4/5 (612 download)

DOWNLOAD NOW!


Book Synopsis Chaos in Classical and Quantum Mechanics by : Martin C. Gutzwiller

Download or read book Chaos in Classical and Quantum Mechanics written by Martin C. Gutzwiller and published by Springer Science & Business Media. This book was released on 2013-11-27 with total page 445 pages. Available in PDF, EPUB and Kindle. Book excerpt: Describes the chaos apparent in simple mechanical systems with the goal of elucidating the connections between classical and quantum mechanics. It develops the relevant ideas of the last two decades via geometric intuition rather than algebraic manipulation. The historical and cultural background against which these scientific developments have occurred is depicted, and realistic examples are discussed in detail. This book enables entry-level graduate students to tackle fresh problems in this rich field.

Universal signatures of quantum chaos

Download Universal signatures of quantum chaos PDF Online Free

Author :
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (754 download)

DOWNLOAD NOW!


Book Synopsis Universal signatures of quantum chaos by : Ralf Aurich

Download or read book Universal signatures of quantum chaos written by Ralf Aurich and published by . This book was released on 1994 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Quantum Chaos

Download Quantum Chaos PDF Online Free

Author :
Publisher : Cambridge University Press
ISBN 13 : 0521592844
Total Pages : 386 pages
Book Rating : 4.5/5 (215 download)

DOWNLOAD NOW!


Book Synopsis Quantum Chaos by : Hans-Jürgen Stöckmann

Download or read book Quantum Chaos written by Hans-Jürgen Stöckmann and published by Cambridge University Press. This book was released on 1999-10-13 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discusses quantum chaos, an important area of nonlinear science.

Signatures of chaos in periodically driven quantum systems

Download Signatures of chaos in periodically driven quantum systems PDF Online Free

Author :
Publisher :
ISBN 13 :
Total Pages : 376 pages
Book Rating : 4.:/5 (522 download)

DOWNLOAD NOW!


Book Synopsis Signatures of chaos in periodically driven quantum systems by : Todd Keene Timberlake

Download or read book Signatures of chaos in periodically driven quantum systems written by Todd Keene Timberlake and published by . This book was released on 2001 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Electrical Control and Quantum Chaos with a High-Spin Nucleus in Silicon

Download Electrical Control and Quantum Chaos with a High-Spin Nucleus in Silicon PDF Online Free

Author :
Publisher : Springer Nature
ISBN 13 : 3030834735
Total Pages : 212 pages
Book Rating : 4.0/5 (38 download)

DOWNLOAD NOW!


Book Synopsis Electrical Control and Quantum Chaos with a High-Spin Nucleus in Silicon by : Serwan Asaad

Download or read book Electrical Control and Quantum Chaos with a High-Spin Nucleus in Silicon written by Serwan Asaad and published by Springer Nature. This book was released on 2021-10-19 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nuclear spins are highly coherent quantum objects that were featured in early ideas and demonstrations of quantum information processing. In silicon, the high-fidelity coherent control of a single phosphorus (31-P) nuclear spin I=1/2 has demonstrated record-breaking coherence times, entanglement, and weak measurements. In this thesis, we demonstrate the coherent quantum control of a single antimony (123-Sb) donor atom, whose higher nuclear spin I = 7/2 corresponds to eight nuclear spin states. However, rather than conventional nuclear magnetic resonance (NMR), we employ nuclear electric resonance (NER) to drive nuclear spin transitions using localized electric fields produced within a silicon nanoelectronic device. This method exploits an idea first proposed in 1961 but never realized experimentally with a single nucleus, nor in a non-polar crystal such as silicon. We then present a realistic proposal to construct a chaotic driven top from the nuclear spin of 123-Sb. Signatures of chaos are expected to arise for experimentally realizable parameters of the system, allowing the study of the relation between quantum decoherence and classical chaos, and the observation of dynamical tunneling. These results show that high-spin quadrupolar nuclei could be deployed as chaotic models, strain sensors, hybrid spin-mechanical quantum systems, and quantum-computing elements using all-electrical controls.

Many Body Quantum Chaos

Download Many Body Quantum Chaos PDF Online Free

Author :
Publisher : Mdpi AG
ISBN 13 : 9783039368327
Total Pages : 222 pages
Book Rating : 4.3/5 (683 download)

DOWNLOAD NOW!


Book Synopsis Many Body Quantum Chaos by : Sandro Wimberger

Download or read book Many Body Quantum Chaos written by Sandro Wimberger and published by Mdpi AG. This book was released on 2020-10-02 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: The field of chaos in many-body quantum systems has a long history, going back to Wigner's simple models for heavy nuclei. Quantum chaos is being investigated in a broad variety of experimental platforms such as heavy nuclei, driven (few-electron) atoms, ultracold quantum gases, and photonic or microwave realizations. Quantum chaos plays a new and important role in many branches of physics, from condensed matter problems of many-body localization, including thermalization studies in closed and open quantum systems, and the question of dynamical stability relevant for quantum information and quantum simulation. This Special Issue and its related book address theories and experiments, methods from classical chaos, semiclassics, and random matrix theory, as well as many-body condensed matter physics. It is dedicated to Prof. Shmuel Fishman, who was one of the major representatives of the field over almost four decades, who passed away in 2019.

Chaos in Atomic Physics

Download Chaos in Atomic Physics PDF Online Free

Author :
Publisher : Cambridge University Press
ISBN 13 : 9780521455022
Total Pages : 356 pages
Book Rating : 4.4/5 (55 download)

DOWNLOAD NOW!


Book Synopsis Chaos in Atomic Physics by : R. Blümel

Download or read book Chaos in Atomic Physics written by R. Blümel and published by Cambridge University Press. This book was released on 1997-07-24 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a coherent introduction to the manifestations of chaos in atoms and molecules.

Quantum Chaos

Download Quantum Chaos PDF Online Free

Author :
Publisher : CUP Archive
ISBN 13 : 9780521467469
Total Pages : 228 pages
Book Rating : 4.4/5 (674 download)

DOWNLOAD NOW!


Book Synopsis Quantum Chaos by : Katsuhiro Nakamura

Download or read book Quantum Chaos written by Katsuhiro Nakamura and published by CUP Archive. This book was released on 1994-06-02 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: Past studies on chaos have been concerned with classical systems but this book is one of the first to deal with quantum chaos.

The Transition to Chaos

Download The Transition to Chaos PDF Online Free

Author :
Publisher : Springer Nature
ISBN 13 : 3030635341
Total Pages : 555 pages
Book Rating : 4.0/5 (36 download)

DOWNLOAD NOW!


Book Synopsis The Transition to Chaos by : Linda Reichl

Download or read book The Transition to Chaos written by Linda Reichl and published by Springer Nature. This book was released on 2021-04-12 with total page 555 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on courses given at the universities of Texas and California, this book treats an active field of research that touches upon the foundations of physics and chemistry. It presents, in as simple a manner as possible, the basic mechanisms that determine the dynamical evolution of both classical and quantum systems in sufficient generality to include quantum phenomena. The book begins with a discussion of Noether's theorem, integrability, KAM theory, and a definition of chaotic behavior; continues with a detailed discussion of area-preserving maps, integrable quantum systems, spectral properties, path integrals, and periodically driven systems; and concludes by showing how to apply the ideas to stochastic systems. The presentation is complete and self-contained; appendices provide much of the needed mathematical background, and there are extensive references to the current literature; while problems at the ends of chapters help students clarify their understanding. This new edition has an updated presentation throughout, and a new chapter on open quantum systems.

Quantum Coherence in Mesoscopic Systems

Download Quantum Coherence in Mesoscopic Systems PDF Online Free

Author :
Publisher : Springer
ISBN 13 : 0306438895
Total Pages : 632 pages
Book Rating : 4.3/5 (64 download)

DOWNLOAD NOW!


Book Synopsis Quantum Coherence in Mesoscopic Systems by : B. Kramer

Download or read book Quantum Coherence in Mesoscopic Systems written by B. Kramer and published by Springer. This book was released on 1991-05-31 with total page 632 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of a NATO ASI held in Les Arcs, France, April 2--13, 1990

Dissipative Quantum Chaos and Decoherence

Download Dissipative Quantum Chaos and Decoherence PDF Online Free

Author :
Publisher : Springer
ISBN 13 : 3540409165
Total Pages : 134 pages
Book Rating : 4.5/5 (44 download)

DOWNLOAD NOW!


Book Synopsis Dissipative Quantum Chaos and Decoherence by : Daniel Braun

Download or read book Dissipative Quantum Chaos and Decoherence written by Daniel Braun and published by Springer. This book was released on 2003-07-01 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt: This overview of the state of the art of research in an exciting field mainly emphasizes the development of a semiclassical formalism that allows one to incorporate the effect of dissipation and decoherence in a precise, yet tractable way into the quantum mechanics of classically chaotic systems.

The Transition to Chaos

Download The Transition to Chaos PDF Online Free

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 1475743505
Total Pages : 692 pages
Book Rating : 4.4/5 (757 download)

DOWNLOAD NOW!


Book Synopsis The Transition to Chaos by : Linda Reichl

Download or read book The Transition to Chaos written by Linda Reichl and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 692 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on courses given at the universities of Texas and California, this book treats an active field of research that touches upon the foundations of physics and chemistry. It presents, in as simple a manner as possible, the basic mechanisms that determine the dynamical evolution of both classical and quantum systems in sufficient generality to include quantum phenomena. The book begins with a discussion of Noether's theorem, integrability, KAM theory, and a definition of chaotic behavior; continues with a detailed discussion of area-preserving maps, integrable quantum systems, spectral properties, path integrals, and periodically driven systems; and concludes by showing how to apply the ideas to stochastic systems. The presentation is complete and self-contained; appendices provide much of the needed mathematical background, and there are extensive references to the current literature; while problems at the ends of chapters help students clarify their understanding. This new edition has an updated presentation throughout, and a new chapter on open quantum systems.

Galileo Unbound

Download Galileo Unbound PDF Online Free

Author :
Publisher : Oxford University Press
ISBN 13 : 0192528505
Total Pages : 384 pages
Book Rating : 4.1/5 (925 download)

DOWNLOAD NOW!


Book Synopsis Galileo Unbound by : David D. Nolte

Download or read book Galileo Unbound written by David D. Nolte and published by Oxford University Press. This book was released on 2018-07-12 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: Galileo Unbound traces the journey that brought us from Galileo's law of free fall to today's geneticists measuring evolutionary drift, entangled quantum particles moving among many worlds, and our lives as trajectories traversing a health space with thousands of dimensions. Remarkably, common themes persist that predict the evolution of species as readily as the orbits of planets or the collapse of stars into black holes. This book tells the history of spaces of expanding dimension and increasing abstraction and how they continue today to give new insight into the physics of complex systems. Galileo published the first modern law of motion, the Law of Fall, that was ideal and simple, laying the foundation upon which Newton built the first theory of dynamics. Early in the twentieth century, geometry became the cause of motion rather than the result when Einstein envisioned the fabric of space-time warped by mass and energy, forcing light rays to bend past the Sun. Possibly more radical was Feynman's dilemma of quantum particles taking all paths at once — setting the stage for the modern fields of quantum field theory and quantum computing. Yet as concepts of motion have evolved, one thing has remained constant, the need to track ever more complex changes and to capture their essence, to find patterns in the chaos as we try to predict and control our world.