Quantum Theory From A Nonlinear Perspective
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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.
The Nonlinear Quantum Field Theory As A Generalization Of Standard Model Geometrical Approach
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Author : Alexander G. Kyriakos
language : en
Publisher: AKVY PRESS
Release Date : 2009
The Nonlinear Quantum Field Theory As A Generalization Of Standard Model Geometrical Approach written by Alexander G. Kyriakos and has been published by AKVY PRESS this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Quantum field theory categories.
The author proposes a special nonlinear quantum field theory. In a linear approximation, this theory can be presented in the form of the Standard Model (SM) theory. The richer physical structure of this nonlinear theory makes it possible to exceed the limits of SM and remove its known incompleteness. We show that nonlinearity of the field is critical for the appearance of charges and masses of elementary particles, for confinement of quarks, and many other effects, whose description within the framework of SM causes difficulties. In this case, the mechanism of generation of masses is mathematically similar to Higgs's mechanism, but it is considerably simpler and does not include the additional particles. The proposed theory does not examine the theory of gravity, but reveals the mathematical similarity of the nonlinear field equations of both theories. The book is intended for undergraduate and graduate students studying the theory of elementary particles, as well as for specialists working in this field.
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.
Annotation Presents conceptual and experimental evidence showing that Heisenberg's uncertainty relations are not valid in all cases. The results lead to a coherent and beautiful causal synthesis unifying quantum and classical physics.
Probing The Structure Of Quantum Mechanics Nonlinearity Nonlocality Computation And Axiomatics
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Author : Diederik Aerts
language : en
Publisher: World Scientific
Release Date : 2002-06-11
Probing The Structure Of Quantum Mechanics Nonlinearity Nonlocality Computation And Axiomatics written by Diederik Aerts and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-06-11 with Science categories.
During the last decade, scientists working in quantum theory have been engaging in promising new fields such as quantum computation and quantum information processing, and have also been reflecting on the possibilities of nonlinear behavior on the quantum level. These are challenging undertakings because (1) they will result in new solutions to important technical and practical problems that were unsolvable by the classical approaches (for example, quantum computers can calculate problems that are intractable if one uses classical computers); and (2) they open up new 'hard' problems of a fundamental nature that touch the foundation of quantum theory itself (for example, the contradiction between locality and nonlinearity and the interpretation of quantum computing as a universal process).In this book, one can distinguish two main streams of research to approach the just-mentioned problem field: (1) a theoretical structural part, which concentrates on the elaboration of a nonlinear quantum mechanics and the fundamentals of quantum computation; and (2) a theoretical experimental part, which focuses on the theoretical aspects of applications that arise from new technology and novel research perspectives such as quantum optics and quantum cryptography. Particular attention is also paid to the measurement problem, the classical limit and alternative interpretations (such as the hidden measurement approach).
Quantum Mechanics And Nonlinear Waves
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Author : Philip Barnes Burt
language : en
Publisher: CRC Press
Release Date : 1981
Quantum Mechanics And Nonlinear Waves written by Philip Barnes Burt and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981 with Science categories.
Quantum Mechanics
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Author : Arbab Ibrahim Arbab
language : en
Publisher:
Release Date : 2018
Quantum Mechanics written by Arbab Ibrahim Arbab and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with SCIENCE categories.
This book is a collection of pioneering research that deals with quantum mechanics from the novel point of view, ranging from theoretical to applications. Quantum mechanics and its application is one of the very progressive fields that is currently governing our technology in industry and science. It has been a long time since Schrodinger, Born, Dirac, Klein-Gordon, Schwinger, Feynman, etc. had laid the foundations of quantum mechanics. There were recently some interesting theories that are not widely known that could shape our future of quantum mechanics and its application. A new understanding is brought that deserves to be promoted worldwide. The authors aim in this book to highlight these new issues and share them with researchers and educators who are highly involved in the foundation of quantum mechanics and its application.The book consists of twelve chapters involving theory, analysis and applications. Chapter One deals with some recent progress in the theory and analytical tools of quadratic optomechanical interactions, as one of the prominent domains of contemporary nonlinear quantum optics. Chapter Two introduces a new quantum mechanics that beautifully merges Schrodinger, Dirac and Klein-Gordon equations into a single quaternionic equation. The formulation of this quantum mechanics shares the one developed in Maxwell's theory. Chapter Three is concerned with developing a nonrelativistic and relativistic quantum theory of the photoeffect in the form of ionization of the atom, which is the extension of the old theory of the photoeffect. In Chapter Four, based on the analogy with the classical continuity equation, the equations of Fick and Hamilton-Jacobi, a nonlinear differential equation is derived that describes the mechanical evolution of matter as a primary fluid. In Chapter Five, a quantization of general linear dissipative systems is discussed.In Chapter Six, a quantization process that circumvents the use of the Hamiltonian approach and derives the Schrodinger equation from its first principles is developed.The remaining chapters deal with a complementary understanding on quantum mechanics from a bio-psychological perspective that helps better elucidate the weird aspects of the measurement problem in quantum mechanics, since physics in general depends on observation and interpretation, which are bio-psychological functions. Treating a symmetry as a foundational concept, quantum mechanics and measurement axioms based on abstraction of physical entities by their symmetries is reformulated. Fundamental questions, like "Is quantum mechanics really timeless?" are raised. Questions related to the relationship between theories and models in science are investigated. Fundamental issues to describe the main elements of a possible theory of fractional probability, which could deal with defects in observation or defect in definition are analyzed. Bohmian quantum mechanics with novel reinterpretations that provide a new understanding of quantum mechanics is advocated.
Non Linear And Collective Phenomena In Quantum Physics
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Author : J. L. Gervais
language : en
Publisher: World Scientific
Release Date : 1983
Non Linear And Collective Phenomena In Quantum Physics written by J. L. Gervais and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983 with Science categories.
http://www.worldscientific.com/worldscibooks/10.1142/0040
Quantum Mechanics In Nonlinear Systems
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Author : Xiao-Feng Pang
language : en
Publisher: World Scientific
Release Date : 2005
Quantum Mechanics In Nonlinear Systems written by Xiao-Feng Pang and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Science categories.
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.
Quantum Field Theory With Application To Quantum Nonlinear Optics
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Author : Anatoliy K Prykarpatsky
language : en
Publisher: World Scientific Publishing Company
Release Date : 2002-12-19
Quantum Field Theory With Application To Quantum Nonlinear Optics written by Anatoliy K Prykarpatsky and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-12-19 with Science categories.
Multi-photon excitation states of poly-atomic molecules undergoing a self-interaction via Kerr effect related processes are of great interest today. Their successful study must be both analytical and by means of modern quantum field theoretical tools. This book deals with these and related topics by developing modern quantum field theory methods for the analysis of radiative states in a nonlinear quantum-optical system. These lecture notes are ideally suited to graduate mathematical physics and physics students, but can also be of interest to mathematicians involved in applied physics problems, and physicists and chemists studying phenomena related with modern quantum-optical devices. Request Inspection Copy
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.