Nonlinear Adiabatic Evolution Of Quantum Systems

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Nonlinear Adiabatic Evolution of Quantum Systems

Author : Jie Liu
Publisher : Springer
ISBN 13 : 9811326436
Total Pages : 197 pages
Book Rating : 4.8/5 (113 download)

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Book Synopsis Nonlinear Adiabatic Evolution of Quantum Systems by : Jie Liu

Download or read book Nonlinear Adiabatic Evolution of Quantum Systems written by Jie Liu and published by Springer. This book was released on 2018-09-03 with total page 197 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book systematically introduces the nonlinear adiabatic evolution theory of quantum many-body systems. The nonlinearity stems from a mean-field treatment of the interactions between particles, and the adiabatic dynamics of the system can be accurately described by the nonlinear Schrödinger equation. The key points in this book include the adiabatic condition and adiabatic invariant for nonlinear system; the adiabatic nonlinear Berry phase; and the exotic virtual magnetic field, which gives the geometric meaning of the nonlinear Berry phase. From the quantum-classical correspondence, the linear and nonlinear comparison, and the single particle and interacting many-body difference perspectives, it shows a distinct picture of adiabatic evolution theory. It also demonstrates the applications of the nonlinear adiabatic evolution theory for various physical systems. Using simple models it illustrates the basic points of the theory, which are further employed for the solution of complex problems of quantum theory for many-particle systems. The results obtained are supplemented by numerical calculations, presented as tables and figures.

Nonlinear Adiabatic Evolution of Quantum Systems

Author : Jie Liu
Publisher :
ISBN 13 : 9789811326448
Total Pages : pages
Book Rating : 4.3/5 (264 download)

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Book Synopsis Nonlinear Adiabatic Evolution of Quantum Systems by : Jie Liu

Download or read book Nonlinear Adiabatic Evolution of Quantum Systems written by Jie Liu and published by . This book was released on 2018 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This book systematically introduces the nonlinear adiabatic evolution theory of quantum many-body systems. The nonlinearity stems from a mean-field treatment of the interactions between particles, and the adiabatic dynamics of the system can be accurately described by the nonlinear Schrödinger equation. The key points in this book include the adiabatic condition and adiabatic invariant for nonlinear system; the adiabatic nonlinear Berry phase; and the exotic virtual magnetic field, which gives the geometric meaning of the nonlinear Berry phase. From the quantum-classical correspondence, the linear and nonlinear comparison, and the single particle and interacting many-body difference perspectives, it shows a distinct picture of adiabatic evolution theory. It also demonstrates the applications of the nonlinear adiabatic evolution theory for various physical systems. Using simple models it illustrates the basic points of the theory, which are further employed for the solution of complex problems of quantum theory for many-particle systems. The results obtained are supplemented by numerical calculations, presented as tables and figures.

Nonlinear, Deformed And Irreversible Quantum Systems - Proceedings Of The International Symposium On Mathematical Physics

Author : Heinz-dietrich Doebner
Publisher : World Scientific
ISBN 13 : 981454924X
Total Pages : 494 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Nonlinear, Deformed And Irreversible Quantum Systems - Proceedings Of The International Symposium On Mathematical Physics by : Heinz-dietrich Doebner

Download or read book Nonlinear, Deformed And Irreversible Quantum Systems - Proceedings Of The International Symposium On Mathematical Physics written by Heinz-dietrich Doebner and published by World Scientific. This book was released on 1995-08-31 with total page 494 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years nonlinear and irreversible quantum mechanics is becoming increasingly important because of the availability of precision experiments. There are new and successful attempts to understand quantum irreversibility. The development of generalized symmetries has to led to new families of evolution equations for pure and mixed states. On the one hand, this timely symposium covers nonlinear and irreversible quantum mechanics, the theory of quantization methods, causality and various problems important in this context. On the other hand, it reports the development of quantum group symmetries, and of methods to construct deformed quantum mechanical evolution equations like the q-deformed Schrödinger equations.

Physical Effects of Geometric Phases

Author : Qian Niu
Publisher : World Scientific
ISBN 13 : 9813225726
Total Pages : 424 pages
Book Rating : 4.8/5 (132 download)

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Book Synopsis Physical Effects of Geometric Phases by : Qian Niu

Download or read book Physical Effects of Geometric Phases written by Qian Niu and published by World Scientific. This book was released on 2017-08-28 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: Berry phase has been widely used in condensed matter physics in the past two decades. This volume is a timely collection of essential papers in this important field, which is highlighted by 2016 Nobel Prize in physics and recent exciting developments in topological matters. Each chapter has an introduction, which helps readers to understand the reprints that follow.

Handbook of Materials Modeling

Author : Sidney Yip
Publisher : Springer Science & Business Media
ISBN 13 : 1402032862
Total Pages : 2903 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Handbook of Materials Modeling by : Sidney Yip

Download or read book Handbook of Materials Modeling written by Sidney Yip and published by Springer Science & Business Media. This book was released on 2007-11-17 with total page 2903 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first reference of its kind in the rapidly emerging field of computational approachs to materials research, this is a compendium of perspective-providing and topical articles written to inform students and non-specialists of the current status and capabilities of modelling and simulation. From the standpoint of methodology, the development follows a multiscale approach with emphasis on electronic-structure, atomistic, and mesoscale methods, as well as mathematical analysis and rate processes. Basic models are treated across traditional disciplines, not only in the discussion of methods but also in chapters on crystal defects, microstructure, fluids, polymers and soft matter. Written by authors who are actively participating in the current development, this collection of 150 articles has the breadth and depth to be a major contributor toward defining the field of computational materials. In addition, there are 40 commentaries by highly respected researchers, presenting various views that should interest the future generations of the community. Subject Editors: Martin Bazant, MIT; Bruce Boghosian, Tufts University; Richard Catlow, Royal Institution; Long-Qing Chen, Pennsylvania State University; William Curtin, Brown University; Tomas Diaz de la Rubia, Lawrence Livermore National Laboratory; Nicolas Hadjiconstantinou, MIT; Mark F. Horstemeyer, Mississippi State University; Efthimios Kaxiras, Harvard University; L. Mahadevan, Harvard University; Dimitrios Maroudas, University of Massachusetts; Nicola Marzari, MIT; Horia Metiu, University of California Santa Barbara; Gregory C. Rutledge, MIT; David J. Srolovitz, Princeton University; Bernhardt L. Trout, MIT; Dieter Wolf, Argonne National Laboratory.

Interplay of Quantum Mechanics and Nonlinearity

Author : V. M. (Nitant) Kenkre
Publisher : Springer Nature
ISBN 13 : 3030948110
Total Pages : 328 pages
Book Rating : 4.0/5 (39 download)

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Book Synopsis Interplay of Quantum Mechanics and Nonlinearity by : V. M. (Nitant) Kenkre

Download or read book Interplay of Quantum Mechanics and Nonlinearity written by V. M. (Nitant) Kenkre and published by Springer Nature. This book was released on 2022-03-26 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents an in-depth study of the discrete nonlinear Schrödinger equation (DNLSE), with particular emphasis on spatially small systems that permit analytic solutions. In many quantum systems of contemporary interest, the DNLSE arises as a result of approximate descriptions despite the fundamental linearity of quantum mechanics. Such scenarios, exemplified by polaron physics and Bose-Einstein condensation, provide application areas for the theoretical tools developed in this text. The book begins with an introduction of the DNLSE illustrated with the dimer, development of fundamental analytic tools such as elliptic functions, and the resulting insights into experiment that they allow. Subsequently, the interplay of the initial quantum phase with nonlinearity is studied, leading to novel phenomena with observable implications in fields such as fluorescence depolarization of stick dimers, followed by analysis of more complex and/or larger systems. Specific examples analyzed in the book include the nondegenerate nonlinear dimer, nonlinear trapping, rotational polarons, and the nonadiabatic nonlinear dimer. Phenomena treated include strong carrier-phonon interactions and Bose-Einstein condensation. This book is aimed at researchers and advanced graduate students, with chapter summaries and problems to test the reader’s understanding, along with an extensive bibliography. The book will be essential reading for researchers in condensed matter and low-temperature atomic physics, as well as any scientist who wants fascinating insights into the role of nonlinearity in quantum physics.

Isotope Effects In Chemistry and Biology

Author : Amnon Kohen
Publisher : CRC Press
ISBN 13 : 1420028022
Total Pages : 1092 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Isotope Effects In Chemistry and Biology by : Amnon Kohen

Download or read book Isotope Effects In Chemistry and Biology written by Amnon Kohen and published by CRC Press. This book was released on 2005-11-01 with total page 1092 pages. Available in PDF, EPUB and Kindle. Book excerpt: The field of isotope effects has expanded exponentially in the last decade, and researchers are finding isotopes increasingly useful in their studies. Bringing literature on the subject up to date, Isotope Effects in Chemistry and Biology covers current principles, methods, and a broad range of applications of isotope effects in the physical, biolo

Proceedings of the Fifth International Conference on Trends in Computational and Cognitive Engineering

Author : M. Shamim Kaiser
Publisher : Springer Nature
ISBN 13 : 9819719232
Total Pages : 651 pages
Book Rating : 4.8/5 (197 download)

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Book Synopsis Proceedings of the Fifth International Conference on Trends in Computational and Cognitive Engineering by : M. Shamim Kaiser

Download or read book Proceedings of the Fifth International Conference on Trends in Computational and Cognitive Engineering written by M. Shamim Kaiser and published by Springer Nature. This book was released on with total page 651 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Scientific and Technical Aerospace Reports

Author :
Publisher :
ISBN 13 :
Total Pages : 702 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis Scientific and Technical Aerospace Reports by :

Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1995 with total page 702 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Quantum Mechanics in Nonlinear Systems

Author : Xiao-Feng Pang
Publisher : World Scientific
ISBN 13 : 9812561161
Total Pages : 644 pages
Book Rating : 4.8/5 (125 download)

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Book Synopsis Quantum Mechanics in Nonlinear Systems by : Xiao-Feng Pang

Download or read book Quantum Mechanics in Nonlinear Systems written by Xiao-Feng Pang and published by World Scientific. This book was released on 2005 with total page 644 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the history of physics and science, quantum mechanics has served as the foundation of modern science. This book discusses the properties of microscopic particles in nonlinear systems, principles of the nonlinear quantum mechanical theory, and its applications in condensed matter, polymers and biological systems.The book is essentially composed of three parts. The first part presents a review of linear quantum mechanics, as well as theoretical and experimental fundamentals that establish the nonlinear quantum mechanical theory. The theory itself and its essential features are covered in the second part. In the final part, extensive applications of this theory in physics, biology and polymer are introduced. The whole volume forms a complete system of nonlinear quantum mechanics.The book is intended for researchers, graduate students as well as upper-level undergraduates.

Nonlinear Dynamics and Computational Physics

Author : V. B. Sheorey
Publisher : Alpha Science Int'l Ltd.
ISBN 13 : 9788173192838
Total Pages : 264 pages
Book Rating : 4.1/5 (928 download)

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Book Synopsis Nonlinear Dynamics and Computational Physics by : V. B. Sheorey

Download or read book Nonlinear Dynamics and Computational Physics written by V. B. Sheorey and published by Alpha Science Int'l Ltd.. This book was released on 1999 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 24 articles presented in this volume cover emerging areas in nonlinear dynamics. They discuss a range of topics, from chaotic quantum systems to nonlinear dynamics of the earth's magnetosphere and from microscopic chaos and nonequilibrium statistical mechanics to nonlinear dynamics of human brain activity. The articles are written by leading researchers both from India and other countries. It is hoped that the volume will provide information and inspiration, and suggest new research directions, both to the expert and novice alike.

Nonlinear Dynamics and Quantum Chaos

Author : Sandro Wimberger
Publisher : Springer
ISBN 13 : 331906343X
Total Pages : 215 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Nonlinear Dynamics and Quantum Chaos by : Sandro Wimberger

Download or read book Nonlinear Dynamics and Quantum Chaos written by Sandro Wimberger and published by Springer. This book was released on 2014-05-13 with total page 215 pages. Available in PDF, EPUB and Kindle. Book excerpt: The field of nonlinear dynamics and chaos has grown very much over the last few decades and is becoming more and more relevant in different disciplines. This book presents a clear and concise introduction to the field of nonlinear dynamics and chaos, suitable for graduate students in mathematics, physics, chemistry, engineering, and in natural sciences in general. It provides a thorough and modern introduction to the concepts of Hamiltonian dynamical systems' theory combining in a comprehensive way classical and quantum mechanical description. It covers a wide range of topics usually not found in similar books. Motivations of the respective subjects and a clear presentation eases the understanding. The book is based on lectures on classical and quantum chaos held by the author at Heidelberg University. It contains exercises and worked examples, which makes it ideal for an introductory course for students as well as for researchers starting to work in the field.

Quantum and Semiclassical Trajectories: Development and Applications

Author : Yujun Zheng
Publisher : Frontiers Media SA
ISBN 13 : 2832531229
Total Pages : 113 pages
Book Rating : 4.8/5 (325 download)

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Book Synopsis Quantum and Semiclassical Trajectories: Development and Applications by : Yujun Zheng

Download or read book Quantum and Semiclassical Trajectories: Development and Applications written by Yujun Zheng and published by Frontiers Media SA. This book was released on 2023-08-02 with total page 113 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Nonlinear Dynamics and Chaos

Author : J Hogan
Publisher : CRC Press
ISBN 13 : 1420033832
Total Pages : 370 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Nonlinear Dynamics and Chaos by : J Hogan

Download or read book Nonlinear Dynamics and Chaos written by J Hogan and published by CRC Press. This book was released on 2002-08-01 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear dynamics has been successful in explaining complicated phenomena in well-defined low-dimensional systems. Now it is time to focus on real-life problems that are high-dimensional or ill-defined, for example, due to delay, spatial extent, stochasticity, or the limited nature of available data. How can one understand the dynamics of such sys

Classical and Quantum Mechanics of Noncentral Potentials

Author : Radhey S. Kaushal
Publisher : Springer Science & Business Media
ISBN 13 : 3662113252
Total Pages : 223 pages
Book Rating : 4.6/5 (621 download)

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Book Synopsis Classical and Quantum Mechanics of Noncentral Potentials by : Radhey S. Kaushal

Download or read book Classical and Quantum Mechanics of Noncentral Potentials written by Radhey S. Kaushal and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 223 pages. Available in PDF, EPUB and Kindle. Book excerpt: Non-central forces have a wide variety of applications in classical and quantum mechanics as demonstrated in this book. The author emphasizes the study of time-dependent potentials, predominantly in two dimensions, without neglecting the quite well understood time-independent case. The construction of invariants in the classical case and the study of solutions to Schrödinger's equation, as well as a detailed presentation of various mathematical techniques are of main concern to the author. The book addresses theoretical physicists and mathematicians, but it will also be useful for electrical and mechanical engineers.

Nuclear Science Abstracts

Author :
Publisher :
ISBN 13 :
Total Pages : 852 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Nuclear Science Abstracts by :

Download or read book Nuclear Science Abstracts written by and published by . This book was released on 1974 with total page 852 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Role of Degenerate States in Chemistry, Volume 124

Author : Michael Baer
Publisher : John Wiley & Sons
ISBN 13 : 0471461512
Total Pages : 824 pages
Book Rating : 4.4/5 (714 download)

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Book Synopsis The Role of Degenerate States in Chemistry, Volume 124 by : Michael Baer

Download or read book The Role of Degenerate States in Chemistry, Volume 124 written by Michael Baer and published by John Wiley & Sons. This book was released on 2003-04-14 with total page 824 pages. Available in PDF, EPUB and Kindle. Book excerpt: Edited by Nobel Prize-winner Ilya Prigogine and renowned authority Stuart A. Rice, the Advances in Chemical Physics series provides a forum for critical, authoritative evaluations in every area of the discipline. In a format that encourages the expression of individual points of view, experts in the field present comprehensive analyses of subjects of interest. This stand-alone, special topics volume, edited by Gert D. Billing of the University of Copenhagen and Michael Baer of the Soreq Nuclear Research Center in Yavne, Israel, reports recent advances on the role of degenerate states in chemistry. Volume 124 collects innovative papers on "Complex States of Simple Molecular Systems," "Electron Nuclear Dynamics," "Conical Intersections and the Spin-Orbit Interaction," and many more related topics. Advances in Chemical Physics remains the premier venue for presentations of new findings in its field.