3 edition of **Chaos in mesoscopic systems** found in the catalog.

Chaos in mesoscopic systems

Miniworkshop on Nonlinearity: Chaos in Mesoscopic Systems (1993 International Centre for Theoretical Physics, Trieste, Italy)

- 217 Want to read
- 31 Currently reading

Published
**1995** by World Scientific in Singapore, River, Edge, NJ .

Written in English

- Quantum chaos -- Congresses.,
- Mesoscopic phenomena (Physics) -- Congresses.

**Edition Notes**

Statement | editors, Giulio Casati, Hilda A. Cerdeira. |

Series | World Scientific series on nonlinear science., v. 7 |

Contributions | Cerdeira, H. A., Casati, Giulio, 1942-, Adriatico Research Conference on Mesoscopic Systems and Chaos: a Novel Approach (1993 : International Centre for Theoretical Physics, Trieste, Italy) |

Classifications | |
---|---|

LC Classifications | QC174.17.C45 M56 1993 |

The Physical Object | |

Pagination | viii, 211 p. : |

Number of Pages | 211 |

ID Numbers | |

Open Library | OL536635M |

ISBN 10 | 9810221711 |

LC Control Number | 96114716 |

OCLC/WorldCa | 34167398 |

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Quantum Chaos and Mesoscopic Systems: Mathematical Methods in the Quantum Signatures of Chaos (Mathematics and Its Applications) th Edition by N.E. Hurt (Author) ISBN ISBN Why is ISBN important.

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USD Instant download. Get this from a library. Quantum chaos and mesoscopic systems: mathematical methods in the quantum signatures of chaos. [Norman Hurt] -- This is the first monograph to present a comprehensive treatment of the mathematical foundations of quantum chaos.

Precise results in this area involve an exciting mixture of analytical number. We have organized the book to emphasize this importance, presenting a series of articles on models and different mesoscopic systems, followed by the microstructures where most of this research is concentrated.

Contents: Models and Natural Systems: Chaos in Many Body Quantum Systems (C Presilla et al.). Get this from a library. Chaos in mesoscopic systems: proceedings of the Miniworkshop on Nonlinearity: Chaos in Mesoscopic Systems & the Adriatico Research Conference on Mesoscopic Systems and Chaos: a Novel Approach, ICTP, Trieste, Italy, 26 July-6 August [H A Cerdeira; Giulio Casati;].

--SciTech Book News "Quantum Chaos and Quantum Dots is an interesting review of some quantum-transport and related problems in solid-state systems. The text should prove useful in two categories of physicists:those in solid state physics looking for an entree to issues in quantum dots, and those in quantum chaos interested in learning about Cited by: Request PDF | From Chaos to Order in Mesoscopic Systems | An interplay between regular and chaotic dynamics of particles, confined in effective potentials of.

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Mesoscopic physics is a subdiscipline of condensed matter physics that deals with materials of an intermediate length. These materials range in size between the. Keeping track its rapid progress, this book provides a broad survey of the latest developments in the field. The focus is on statistics and dynamics of mesoscopic systems with special emphasis on topics like quantum chaos, localization, noise and fluctuations, mesoscopic optics and quantum transport in nanostructures.

This book gives a thorough account of the theory of electronic transport in such mesoscopic systems. After an initial chapter covering fundamental concepts, the transmission function formalism is presented, and used to describe three key topics in mesoscopic physics: the quantum Hall effect; localisation; and double-barrier by: Driven quantum systems, described by Hamiltonian where x(t) is a time dependent parameter, are of interest in mesoscopic physics (quantum dots), Author: Doron Cohen.

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Quantum and chaos, key concepts in contemporary science, are incompatible by nature. This volume presents an investigation into quantum transport in mesoscopic or nanoscale systems which are classically chaotic and shows the success and failure of quantal, semiclassical, and random matrix theories in dealing with questions emerging from the mesoscopic cosmos.

This book describes manifestations of classical dynamics and chaos in the quantum properties of mesoscopic systems. During the last two decades mesoscopic physics has evolved into a rapidly progressing and exciting interdisciplinary field of physics.

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A review of coherent and collective quantum optical effects like superradiance and coherent population trapping in mesoscopic systems is presented. Various new physical realizations of these phenomena are discussed, with a focus on their role for electronic transport and quantum dissipation in coupled nano-scale systems like quantum by: Mesoscopic systems are extremely useful to study the interplay between the quantum and classical worlds, and at the same time Quantum Chaos studies can be used to test fundamental questions of Condensed Matter Physics, like disorder, decoherence, dissipation and many-body effects.

The second half of the book contains three separate topics: The quan- tum Hall effect, mesoscopic superconductivity, and noise in mesoscopic systems.

The quantum Hall effect does not require a small system, but is linked to mesoscopic physics by. Mesoscopic and microscopic systems both belong to the wonderful world of quantum mechanics.

Mesoscopic physics addresses fundamental physical problems which occur when a macroscopic object is miniaturized. The field originated some ten years ago, motivated largely by the electronics industry.

Introduction to Theory of Mesoscopic Systems Boris Altshuler Princeton University, Columbia University & NEC Laboratories America Anderson Random Matrices, Anderson Localization, and Quantum Chaos Later Interaction between electrons in Interaction between electrons in mesoscopic systems.

ORIGINS E.P. Wigner, Conference on Neutron Physics by. “Chaos” and “chaos theory” are many times misconstrued and thought of as the same thing (Cambel,p. 16). To clarify, chaos theory is synonymous with “quantum mechanics” and the workings of numbers, mathematical equations, and geometric techniques working toward no specific solution of nonlinear problems (p.

16). Quantum Chaos and Quantum Dots Katsuhiro Nakamura and Takahisa Harayama Mesoscopic Physics and Nanotechnology. Bridges nonlinear science and nanotechnology.

Gives self-contained introduction to the semiclassical theory, an important theory in modern physics. Combines basic theory with topical issues. The question of defining chaos is basically the question what makes a dynamical system such as (1) chaotic rather than nonchaotic.

But this turns out to be a hard question to answer. Stephen Kellert defines chaos theory as “the qualitative study of unstable aperiodic behavior in deterministic nonlinear dynamical systems” (, p. This. The Laboratory for Mesoscopic Systems based at the Paul Scherrer Institute (PSI) is a joint laboratory between the ETH Zurich and PSI.

Our research is directed towards novel magnetic thin film and nanoscale systems, which we investigate with the large scale facilities at PSI. Nanoscale magnetic elements are of technological importance for a.

Chapter 1: The Influence of Machine Saturation on Bifurcation and Chaos in Multimachine Power Systems (1, KB) Contents: Chaos in Multiplicative Systems (D Aniszewska & M Rybaczuk) On the Entropy Flows to Disorder (C T J Dodson) Maxwell–Bloch Equations as Predator-Prey System (A S Hacinliyan et al.).

The development of the supersymmetry technique has led to significant advances in the study of disordered metals and semiconductors. The technique has proved to be of great use in the analysis of modern mesoscopic quantum devices, but is also finding applications in a broad range of other topics, such as localization and quantum by: This book discusses the following topics: Spectral statistics and their semiclassical interpretation in terms of the Gutzwiller trace formula, Quantum chaos and its applications in mesoscopic physics, Spectral statistics and conductance fluctuations and Quantum chaos in systems with many degrees of freedom.

Ongoing developments in nanofabrication technology and the availability of novel materials have led to the emergence and evolution of new topics for mesoscopic research, including scanning-tunnelling microscopic studies of few-atom metallic clusters, discrete energy level spectroscopy, the prediction of Kondo-type physics in the transport properties of quantum dots, time Price: $ quantum mechanics.

Therefore, in this book I shall investigate quantum transport in mesoscopic systems that are classically chaotic, showing the success and failure of theoretical trials to explain experimental issues.

My basic idea is as follows: Our inability to explain anomalous quantum. We consider the recently developed semiclassical analysis of the quantum mechanical spectral form factor, which may be expressed in terms of classically defiable properties. When applied to electrons whose classical behavior is diffusive, the results of earlier quantum mechanical perturbative derivations, which were developed under a different set of assumptions, are.

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An Introduction to Chaos: The Rössler System This note is intended as a short introduction to chaos in dynamical systems for advanced undergraduate and beginning graduate students. Knowledge of calculus, linear algebra and ODEs is assumed; some familiarity with measure theory and numerical methods is an asset, but is not necessary.

A brief review of the supersymmetry method and its application to mesoscopic physics and quantum chaos is given. Although a nonlinear supermatrix σ-model in this approach was derived from models with random potential, it is emphasized that the zero-dimensional version of the σ-model is equivalent to the random matrix theory and can even be derived from the latter, by: 5.

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This research often crosses the boundary between physics and engineering. fluctuations of mesoscopic systems, the properties of two-dimensional quantum dots, quantum corrals, and quantum well billiards. In fact the results of quantum chaos apply to almost all classical wave phenomena, including vibrational modes of plates, water waves in confined geometries, etc.

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