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Quantum Mechanics Of Non Hamiltonian And Dissipative Systems

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Quantum Mechanics of Non Hamiltonian and Dissipative Systems

Quantum Mechanics of Non Hamiltonian and Dissipative Systems Book
Author : Vasily Tarasov
Publisher : Elsevier
Release : 2008-06-06
ISBN : 9780080559711
Language : En, Es, Fr & De

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Book Description :

Quantum Mechanics of Non-Hamiltonian and Dissipative Systems is self-contained and can be used by students without a previous course in modern mathematics and physics. The book describes the modern structure of the theory, and covers the fundamental results of last 15 years. The book has been recommended by Russian Ministry of Education as the textbook for graduate students and has been used for graduate student lectures from 1998 to 2006. • Requires no preliminary knowledge of graduate and advanced mathematics • Discusses the fundamental results of last 15 years in this theory • Suitable for courses for undergraduate students as well as graduate students and specialists in physics mathematics and other sciences

Classical And Quantum Dissipative Systems Second Edition

Classical And Quantum Dissipative Systems  Second Edition  Book
Author : Razavy Mohsen
Publisher : World Scientific
Release : 2017-02-27
ISBN : 9813207930
Language : En, Es, Fr & De

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Book Description :

Dissipative forces play an important role in problems of classical as well as quantum mechanics. Since these forces are not among the basic forces of nature, it is essential to consider whether they should be treated as phenomenological interactions used in the equations of motion, or they should be derived from other conservative forces. In this book we discuss both approaches in detail starting with the Stoke's law of motion in a viscous fluid and ending with a rather detailed review of the recent attempts to understand the nature of the drag forces originating from the motion of a plane or a sphere in vacuum caused by the variations in the zero-point energy. In the classical formulation, mathematical techniques for construction of Lagrangian and Hamiltonian for the variational formulation of non-conservative systems are discussed at length. Various physical systems of interest including the problem of radiating electron, theory of natural line width, spin-boson problem, scattering and trapping of heavy ions and optical potential models of nuclear reactions are considered and solved.

Fractional Dynamics

Fractional Dynamics Book
Author : Vasily E. Tarasov
Publisher : Springer Science & Business Media
Release : 2011-01-04
ISBN : 3642140033
Language : En, Es, Fr & De

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Book Description :

"Fractional Dynamics: Applications of Fractional Calculus to Dynamics of Particles, Fields and Media" presents applications of fractional calculus, integral and differential equations of non-integer orders in describing systems with long-time memory, non-local spatial and fractal properties. Mathematical models of fractal media and distributions, generalized dynamical systems and discrete maps, non-local statistical mechanics and kinetics, dynamics of open quantum systems, the hydrodynamics and electrodynamics of complex media with non-local properties and memory are considered. This book is intended to meet the needs of scientists and graduate students in physics, mechanics and applied mathematics who are interested in electrodynamics, statistical and condensed matter physics, quantum dynamics, complex media theories and kinetics, discrete maps and lattice models, and nonlinear dynamics and chaos. Dr. Vasily E. Tarasov is a Senior Research Associate at Nuclear Physics Institute of Moscow State University and an Associate Professor at Applied Mathematics and Physics Department of Moscow Aviation Institute.

Quantum Dissipative Systems

Quantum Dissipative Systems Book
Author : Ulrich Weiss
Publisher : World Scientific
Release : 1999
ISBN : 9789810240929
Language : En, Es, Fr & De

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Book Description :

Recent advances in the quantum theory of macroscopic systems have brightened up the field and brought it into the focus of a general community in natural sciences. The fundamental concepts, methods and applications including the most recent developments, previously covered for the most part only in the original literature, are presented here in a comprehensive treatment to an audience who is reasonably familiar with quantum-statistical mechanics and has had rudimentary contacts with the path integral formulation. This book deals with the phenomena and theory of decoherence and dissipation in quantum mechanics that arise from the interaction with the environment. A general path integral description of equilibrium thermodynamics and non-equilibrium dynamics is developed. The approach can deal with weak and strong dissipation, and with all kinds of memory effects. Applications to numerous phenomenological and microscopic systems are presented, where emphasis is put on condensed matter and chemical physics. The basic principles and methods of preparation functions, propagating functions, and time correlation functions are described. Special attention is focused on quantum tunneling and quantum coherence phenomena of macroscopic variables. Many illustrative realistic examples are discussed in some detail. The book attempts to provide a broad perspective and to open up this rapidly developing field to interested researchers normally working in different fields. In this enlarged second edition, the nineteen chapters of the first edition have been expanded by about one-third to better meet both the requests of newcomers to the field and of advanced readers, and seven new chapters have beenadded that review the most recent important developments.

Physics letters part A

Physics letters    part A   Book
Author : Anonim
Publisher : Unknown
Release : 2001
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download Physics letters part A book written by , available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Physics Uspekhi

Physics  Uspekhi Book
Author : Anonim
Publisher : Unknown
Release : 2003
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

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Romanian Journal of Physics

Romanian Journal of Physics Book
Author : Anonim
Publisher : Unknown
Release : 2002
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

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Nonlinear Dynamics in Classical and Quantum Systems

Nonlinear Dynamics in Classical and Quantum Systems Book
Author : Hans Cruz Prado
Publisher : Unknown
Release : 2020
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

In this work a nonlinear evolution of pure states of a finite dimensional quantum system is introduced, in particular a Riccati evolution equation. It is shown how this class of dynamics is actually a Hamiltonian dynamics in the complex projective space. In this projective space it is shown that there is a nonlinear superposition rule, consistent with its linear counterpart in the Hilbert space. As an example, the developed nonlinear formalism is applied to the semiclassical Jaynes-Cummings model. Later, it is shown that there is an inherent nonlinear evolution in the dynamics of the so-called generalized coherent states. To show this, the fact that in quantum mechanics it is possible to immerse a ''classical'' manifold into the Hilbert space is employed, such that one may parametrize the time-dependence of the wave function through the variation of parameters in the classical manifold. The immersion allows to consider the so-called principle of analogy, i.e. using the procedures and structures available from the classical setting to employ them in the quantum setting. Finally, it is introduced the contact Hamiltonian mechanics, an extension of symplectic Hamiltonian mechanics, and it is showed that it is a natural candidate for a geometric description of non-dissipative and dissipative systems.

Hadronic Journal Supplement

Hadronic Journal Supplement Book
Author : Anonim
Publisher : Unknown
Release : 1986
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

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General physics relativity astronomy and mathematical physics and methods

General physics  relativity  astronomy and mathematical physics and methods Book
Author : Anonim
Publisher : Unknown
Release : 2001
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

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Advances in Chemical Physics

Advances in Chemical Physics Book
Author : Ilya Prigogine
Publisher : Unknown
Release : 1958
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download Advances in Chemical Physics book written by Ilya Prigogine, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Stochasticity and Quantum Chaos

Stochasticity and Quantum Chaos Book
Author : Z. Haba,Wojciech Cegla,Lech Jakóbczyk
Publisher : Springer Science & Business Media
Release : 2013-03-07
ISBN : 9401101698
Language : En, Es, Fr & De

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Book Description :

These are the proceedings of the Third Max Born Symposium which took place at SobOtka Castle in September 1993. The Symposium is organized annually by the Institute of Theoretical Physics of the University of Wroclaw. Max Born was a student and later on an assistant at the University of Wroclaw (Wroclaw belonged to Germany at this time and was called Breslau). The topic of the Max Born Sympo sium varies each year reflecting the developement of theoretical physics. The subject of this Symposium "Stochasticity and quantum chaos" may well be considered as a continuation of the research interest of Max Born. Recall that Born treats his "Lectures on the mechanics of the atom" (published in 1925) as a nrst volume of a complete monograph (supposedly to be written by another person). His lectures concern the quantum mechanics of integrable systems. The quantum mechanics of non-integrable systems was the subject of the Third Max Born Symposium. It is known that classical non-integrable Hamiltonian systems show a chaotic behaviour. On the other hand quantum systems bounded in space are quasiperi odic. We believe that quantum systems have a reasonable classical limit. It is not clear how to reconcile the seemingly regular behaviour of quantum systems with the possible chaotic properties of their classical counterparts. The quantum proper ties of classically chaotic systems constitute the main subject of these Proceedings. Other topics discussed are: the quantum mechanics of dissipative systems, quantum measurement theory, the role of noise in classical and quantum systems.

Soviet Physics Uspekhi

Soviet Physics  Uspekhi Book
Author : Anonim
Publisher : Unknown
Release : 1987
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

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Stochasticity and Quantum Chaos

Stochasticity and Quantum Chaos Book
Author : Z. Haba,Wojciech Cegla,Lech Jakobczyk
Publisher : Unknown
Release : 1995-01-31
ISBN : 9789401101707
Language : En, Es, Fr & De

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Book Description :

Download Stochasticity and Quantum Chaos book written by Z. Haba,Wojciech Cegla,Lech Jakobczyk, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Theoretical and Mathematical Physics

Theoretical and Mathematical Physics Book
Author : Anonim
Publisher : Unknown
Release : 1995
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

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Physics Briefs

Physics Briefs Book
Author : Anonim
Publisher : Unknown
Release : 1991
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

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Chaos Concepts Control and Constructive Use

Chaos  Concepts  Control and Constructive Use Book
Author : Yurii Bolotin,Anatoli Tur,Vladimir Yanovsky
Publisher : Springer
Release : 2016-10-24
ISBN : 3319424963
Language : En, Es, Fr & De

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Book Description :

This book offers a short and concise introduction to the many facets of chaos theory. While the study of chaotic behavior in nonlinear, dynamical systems is a well-established research field with ramifications in all areas of science, there is a lot to be learnt about how chaos can be controlled and, under appropriate conditions, can actually be constructive in the sense of becoming a control parameter for the system under investigation, stochastic resonance being a prime example. The present work stresses the latter aspects and, after recalling the paradigm changes introduced by the concept of chaos, leads the reader skillfully through the basics of chaos control by detailing the relevant algorithms for both Hamiltonian and dissipative systems, among others. The main part of the book is then devoted to the issue of synchronization in chaotic systems, an introduction to stochastic resonance, and a survey of ratchet models. In this second, revised and enlarged edition, two more chapters explore the many interfaces of quantum physics and dynamical systems, examining in turn statistical properties of energy spectra, quantum ratchets, and dynamical tunneling, among others. This text is particularly suitable for non-specialist scientists, engineers, and applied mathematical scientists from related areas, wishing to enter the field quickly and efficiently. From the reviews of the first edition: This book is an excellent introduction to the key concepts and control of chaos in (random) dynamical systems [...] The authors find an outstanding balance between main physical ideas and mathematical terminology to reach their audience in an impressive and lucid manner. This book is ideal for anybody who would like to grasp quickly the main issues related to chaos in discrete and continuous time. Henri Schurz, Zentralblatt MATH, Vol. 1178, 2010.

Hadronic Journal

Hadronic Journal Book
Author : Anonim
Publisher : Unknown
Release : 1986
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

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Physica

Physica Book
Author : Anonim
Publisher : Unknown
Release : 1973
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

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Scientia rivista di scienza

 Scientia   rivista di scienza Book
Author : Anonim
Publisher : Unknown
Release : 1977
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

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