Towards A Nonlinear Quantum Physics
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Towards A Nonlinear Quantum Physics
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Author : J. R. Croca
language : en
Publisher: World Scientific
Release Date : 2003
Towards A Nonlinear Quantum Physics written by J. R. Croca and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Science categories.
The author of this book presents conceptual and experimental evidence showing that Heisenberg''s uncertainty relations are not valid in all cases. Furthermore, he derives a more general set of uncertainty relations. The new relations result from the replacement of the Fourier nonlocal and nontemporal paradigm by wavelet local analysis. These results lead to a coherent and beautiful causal synthesis unifying quantum and classical physics.
Quantum Theory From A Nonlinear Perspective
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Author : Dieter Schuch
language : en
Publisher: Springer
Release Date : 2018-01-20
Quantum Theory From A Nonlinear Perspective written by Dieter Schuch and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-01-20 with Science categories.
This book provides a unique survey displaying the power of Riccati equations to describe reversible and irreversible processes in physics and, in particular, quantum physics. Quantum mechanics is supposedly linear, invariant under time-reversal, conserving energy and, in contrast to classical theories, essentially based on the use of complex quantities. However, on a macroscopic level, processes apparently obey nonlinear irreversible evolution equations and dissipate energy. The Riccati equation, a nonlinear equation that can be linearized, has the potential to link these two worlds when applied to complex quantities. The nonlinearity can provide information about the phase-amplitude correlations of the complex quantities that cannot be obtained from the linearized form. As revealed in this wide ranging treatment, Riccati equations can also be found in many diverse fields of physics from Bose-Einstein-condensates to cosmology. The book will appeal to graduate students and theoretical physicists interested in a consistent mathematical description of physical laws.
Nonlinear Quantum Mechanics And Its Applications
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Author : Xiao-Feng Pang
language : en
Publisher: Nova Science Publishers
Release Date : 2015
Nonlinear Quantum Mechanics And Its Applications written by Xiao-Feng Pang and has been published by Nova Science Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015 with Nonlinear theories categories.
This book describes complete nonlinear quantum mechanics, in which the fundamental and necessity theoretical principle and wave-corpuscle duality of microscopic particles were the foundation of this principle and its experimental evidences, the mechanisms of generation of the nonlinear interactions and its effects, as well as the methods solving nonlinear quantum mechanical problems, its distinctions with linear quantum mechanics and early nonlinear quantum mechanical idea and models, the completeness and correctness and universality of new theory as well as its applications in different systems containing polymers, physical and biological systems, which are exhibited in this book. Plenty of interesting results of these systems and a large number of novel properties of microscopic particles including the electron, proton, phonon, photon, exciton, polaron, magnon and Boson involving their localisations and classical features are stated in detail. This book is intended for researchers, teachers, graduate students, and upper level undergraduate students.
The Quantum Theory Of Nonlinear Optics
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Author : Peter D. Drummond
language : en
Publisher: Cambridge University Press
Release Date : 2014-03-27
The Quantum Theory Of Nonlinear Optics written by Peter D. Drummond and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-03-27 with Science categories.
This self-contained treatment of field quantization requires no prior knowledge of nonlinear optics. Supplemented by end-of-chapter exercises and detailed examples of calculation techniques in different systems, it is a valuable resource for graduate students and researchers in nonlinear optics, condensed matter physics, quantum information and atomic physics.
Dialogues On The New Physics
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Author : J. R. Croca
language : en
Publisher: Cambridge Scholars Publishing
Release Date : 2019-11-01
Dialogues On The New Physics written by J. R. Croca and has been published by Cambridge Scholars Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-11-01 with Science categories.
Eurythmic physics is a general science which seeks to contribute to the unification of the wider field of physics in order to promote understanding of a clearer view of nature. This book develops the fundamental aspects of this approach, tracing how it assumes that, because physical phenomena are not linear in reality, they must be discussed from a nonlinear, interrelated, and complex perspective.
The Langevin Equation
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Author : William Coffey
language : en
Publisher: World Scientific
Release Date : 2012
The Langevin Equation written by William Coffey and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Mathematics categories.
This volume is the third edition of the first-ever elementary book on the Langevin equation method for the solution of problems involving the translational and rotational Brownian motion of particles and spins in a potential highlighting modern applications in physics, chemistry, electrical engineering, and so on. In order to improve the presentation, to accommodate all the new developments, and to appeal to the specialized interests of the various communities involved, the book has been extensively rewritten and a very large amount of new material has been added. This has been done in order to present a comprehensive overview of the subject emphasizing via a synergetic approach that seemingly unrelated physical problems involving random noise may be described using virtually identical mathematical methods in the spirit of the founders of the subject, viz., Einstein, Langevin, Smoluchowski, Kramers, The book has been written in such a way that all the material should be accessible both to an advanced researcher and a beginning graduate student. It draws together, in a coherent fashion, a variety of results which have hitherto been available only in the form of scattered research papers and review articles.
Introduction To Nonlinear Physics
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Author : Lui Lam
language : en
Publisher: Springer Science & Business Media
Release Date : 2003-11-14
Introduction To Nonlinear Physics written by Lui Lam and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-11-14 with Science categories.
This textbook provides an introduction to the new science of nonlinear physics for advanced undergraduates, beginning graduate students, and researchers entering the field. The chapters, by pioneers and experts in the field, share a unified perspective. Nonlinear science developed out of the increasing ability to investigate and analyze systems for which effects are not simply linear functions of their causes; it is associated with such well-known code words as chaos, fractals, pattern formation, solitons, cellular automata, and complex systems. Nonlinear phenomena are important in many fields, including dynamical systems, fluid dynamics, materials science, statistical physics, and paritcel physics. The general principles developed in this text are applicable in a wide variety of fields in the natural and social sciences. The book will thus be of interest not only to physicists, but also to engineers, chemists, geologists, biologists, economists, and others interested in nonlinear phenomena. Examples and exercises complement the text, and extensive references provide a guide to research in the field.
Langevin Equation The With Applications To Stochastic Problems In Physics Chemistry And Electrical Engineering 2nd Edition
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Author : William T Coffey
language : en
Publisher: World Scientific
Release Date : 2004-03-03
Langevin Equation The With Applications To Stochastic Problems In Physics Chemistry And Electrical Engineering 2nd Edition written by William T Coffey and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-03-03 with Science categories.
This volume is the second edition of the first-ever elementary book on the Langevin equation method for the solution of problems involving the Brownian motion in a potential, with emphasis on modern applications in the natural sciences, electrical engineering and so on. It has been substantially enlarged to cover in a succinct manner a number of new topics, such as anomalous diffusion, continuous time random walks, stochastic resonance etc, which are of major current interest in view of the large number of disparate physical systems exhibiting these phenomena. The book has been written in such a way that all the material should be accessible to an advanced undergraduate or beginning graduate student. It draws together, in a coherent fashion, a variety of results which have hitherto been available only in the form of research papers or scattered review articles.
Quantum Nonlinear Optics
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Author : Eiichi Hanamura
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-07-04
Quantum Nonlinear Optics written by Eiichi Hanamura and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-07-04 with Science categories.
It was more than ten years ago that an original version of this monograph was published with the title Quantum Optics in Japanese from Iwanami Shoten in Tokyo. Therefore, making the best use of this chance to translate the book into an English version, we have tried to include the exciting developments of the relevant subjects in these ten years, especially novel nonlinear optical responses of materials. The ?rst example of these nonlinear optical phen- ena is laser cooling and subsequent observation of Bose–Einstein and Fermi condensation of neutral atoms. Second, it is now possible to generate f- tosecond laser pulses. Then higher-harmonics in the extreme ultraviolet and soft X-ray regions and higher-order Raman scattering can be generated by irradiating these ultrashort laser pulses on atomic and molecular gases and crystals. These multistep signals are applied to the generation of attosecond laser pulses. Third, interference e?ects of the second harmonics are used to observe the ferroelectric and antiferromagnetic domain structures of crystals with a strongly correlated electronic system. These novel nonlinear optical phenomena could not be treated without the quantized radiation ?eld. We already have classical textbooks treating, individually, the quantum theory of the radiation ?eld and nonlinear optics. Taking account of these situations, we have described these exciting nonlinear optical responses as well as laser oscillation and supperradiance, based upon the quantum theory of the radiation ?eld. At the same time, we have changed the title of this monograph toQuantum Nonlinear Optics.
Unified Field Mechanics Ii Formulations And Empirical Tests Proceedings Of The Xth Symposium Honoring Noted French Mathematical Physicist Jean Pierre Vigier
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Author : Richard L Amoroso
language : en
Publisher: World Scientific
Release Date : 2018-01-08
Unified Field Mechanics Ii Formulations And Empirical Tests Proceedings Of The Xth Symposium Honoring Noted French Mathematical Physicist Jean Pierre Vigier written by Richard L Amoroso and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-01-08 with Science categories.
This volume, recording the 10th international symposium honoring noted French mathematical physicist Jean-Pierre Vigier surveys and continues to develop Unified Field Mechanics (UFM) from the perspective of Multiverse cosmology and Topological Field Theory. UFM represents a developing paradigm shift with many new parameters extending the Standard Model to a 3rd regime of Natural Science beyond Quantum Mechanics. UFM is now experimentally testable, thus putatively able to demonstrate the existence of large-scale additional dimensionality (LSXD), test for QED violating phenomena and surmount the quantum uncertainty principle leading to a new 'Age of Discovery' paling all prior ages in the historical progression: Classical Mechanics (3D) to Quantum Mechanics (4D) and now to the birth of the 3rd regime of UFM in additional dimensionality correlating with M-Theory. Many still consider the Planck-scale as the 'basement of reality'. This could only be considered true under the limitations of the Standard Model. As we methodically enter the new regime a profound understanding of the multiverse and additional dimensionality beckons.