Author: J. R. Croca
Publisher: World Scientific
ISBN: 9812382100
Category : Science
Languages : en
Pages : 228
Book Description
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.
Towards a Nonlinear Quantum Physics
Author: J. R. Croca
Publisher: World Scientific
ISBN: 9812382100
Category : Science
Languages : en
Pages : 228
Book Description
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.
Publisher: World Scientific
ISBN: 9812382100
Category : Science
Languages : en
Pages : 228
Book Description
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.
Quantum Theory from a Nonlinear Perspective
Author: Dieter Schuch
Publisher: Springer
ISBN: 3319655949
Category : Science
Languages : en
Pages : 261
Book Description
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.
Publisher: Springer
ISBN: 3319655949
Category : Science
Languages : en
Pages : 261
Book Description
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
Author: Xiao-Feng Pang
Publisher: Nova Science Publishers
ISBN: 9781611220117
Category : Nonlinear theories
Languages : en
Pages : 0
Book Description
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.
Publisher: Nova Science Publishers
ISBN: 9781611220117
Category : Nonlinear theories
Languages : en
Pages : 0
Book Description
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.
Introduction to Nonlinear Physics
Author: Lui Lam
Publisher: Springer Science & Business Media
ISBN: 9780387406145
Category : Science
Languages : en
Pages : 436
Book Description
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.
Publisher: Springer Science & Business Media
ISBN: 9780387406145
Category : Science
Languages : en
Pages : 436
Book Description
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.
Nonlinear Dynamics and Quantum Chaos
Author: Sandro Wimberger
Publisher: Springer
ISBN: 331906343X
Category : Science
Languages : en
Pages : 215
Book Description
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.
Publisher: Springer
ISBN: 331906343X
Category : Science
Languages : en
Pages : 215
Book Description
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.
The Quantum Theory of Nonlinear Optics
Author: Peter D. Drummond
Publisher: Cambridge University Press
ISBN: 1107004217
Category : Science
Languages : en
Pages : 385
Book Description
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.
Publisher: Cambridge University Press
ISBN: 1107004217
Category : Science
Languages : en
Pages : 385
Book Description
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.
Introduction to Quantum Electronics and Nonlinear Optics
Author: Vitaliy V. Shtykov
Publisher: Springer Nature
ISBN: 3030376141
Category : Science
Languages : en
Pages : 341
Book Description
This textbook, based on the authors’ class-tested material, is accessible to students at the advanced undergraduate and graduate level in physics and engineering. While its primary function is didactic, this book’s comprehensive choice of topics and its clear and authoritative synthesis of ideas make it a useful reference for researchers, device engineers, and course instructors who wish to consolidate their knowledge of this field. The book takes the semi-classical approach where light is treated as a wave in accordance with the classical Maxwell equations, while matter is governed by quantum theory. It begins by introducing the postulates and mathematical framework of quantum theory, followed by the formalism of the density matrix which allows the transition from microscopic (quantum) quantities to macroscopic (classical) ones. Consequently, the equations describing the reaction of matter to the electromagnetic field in the form of polarization, magnetization, and current are derived. These equations (together with the Maxwell equations) form the complete system of equations sufficient to model a wide class of problems surrounding linear and nonlinear interactions of electromagnetic fields with matter. The nonlinear character of the governing equations determines parameters of the steady-state mode of the quantum generator and is also demonstrated in harmonic generation via propagation of laser radiation in various media. The touchstone description of magnetic phenomena will be of interest to scientists who deal with applications of magneto-resonance phenomena in biology and medicine. Other advanced topics covered include electric dipole transitions, magnetic dipole transitions, plasma transitions, and the devices that can be based on these and other electro-optical and nonlinear-optical systems. This textbook features numerous exercises, some of which are investigatory and some of which require computational solutions.
Publisher: Springer Nature
ISBN: 3030376141
Category : Science
Languages : en
Pages : 341
Book Description
This textbook, based on the authors’ class-tested material, is accessible to students at the advanced undergraduate and graduate level in physics and engineering. While its primary function is didactic, this book’s comprehensive choice of topics and its clear and authoritative synthesis of ideas make it a useful reference for researchers, device engineers, and course instructors who wish to consolidate their knowledge of this field. The book takes the semi-classical approach where light is treated as a wave in accordance with the classical Maxwell equations, while matter is governed by quantum theory. It begins by introducing the postulates and mathematical framework of quantum theory, followed by the formalism of the density matrix which allows the transition from microscopic (quantum) quantities to macroscopic (classical) ones. Consequently, the equations describing the reaction of matter to the electromagnetic field in the form of polarization, magnetization, and current are derived. These equations (together with the Maxwell equations) form the complete system of equations sufficient to model a wide class of problems surrounding linear and nonlinear interactions of electromagnetic fields with matter. The nonlinear character of the governing equations determines parameters of the steady-state mode of the quantum generator and is also demonstrated in harmonic generation via propagation of laser radiation in various media. The touchstone description of magnetic phenomena will be of interest to scientists who deal with applications of magneto-resonance phenomena in biology and medicine. Other advanced topics covered include electric dipole transitions, magnetic dipole transitions, plasma transitions, and the devices that can be based on these and other electro-optical and nonlinear-optical systems. This textbook features numerous exercises, some of which are investigatory and some of which require computational solutions.
Quantum Nonlinear Optics
Author: Eiichi Hanamura
Publisher: Springer Science & Business Media
ISBN: 3540684840
Category : Science
Languages : en
Pages : 241
Book Description
This graduate-level textbook gives an introductory overview of the fundamentals of quantum nonlinear optics. It deals with the organization of radiation field, interaction between electronic system and radiation field, statistics of light, and mutual manipulation of light and matter. It also covers laser oscillation, dynamics of light, nonlinear optical response, and nonlinear spectroscopy, as well as ultrashort and ultrastrong laser pulse. In addition, latest results of the frontier of this science are presented. Problems and solutions help the reader to master and review the material.
Publisher: Springer Science & Business Media
ISBN: 3540684840
Category : Science
Languages : en
Pages : 241
Book Description
This graduate-level textbook gives an introductory overview of the fundamentals of quantum nonlinear optics. It deals with the organization of radiation field, interaction between electronic system and radiation field, statistics of light, and mutual manipulation of light and matter. It also covers laser oscillation, dynamics of light, nonlinear optical response, and nonlinear spectroscopy, as well as ultrashort and ultrastrong laser pulse. In addition, latest results of the frontier of this science are presented. Problems and solutions help the reader to master and review the material.
Non-Linear Cooperative Effects in Open Quantum Systems
Author: Nicolae Alexandru Enachi
Publisher: Nova Science Publishers
ISBN: 9781634833219
Category : Open systems (Physics)
Languages : en
Pages : 0
Book Description
This monograph, "Non-linear Cooperative Effects in Open Quantum Systems: Entanglement and Second Order Coherence" is dedicated to the large auditory of specialists interested in the modern approaches in quantum open systems, cooperative phenomena between excited atoms and the field of the non-linear interaction. Special attention is dedicated to the problems of non-linear interaction with vacuum fields and thermostat with finite temperature, but quantum aspects of laser generation of light in non-linear interaction with finite numbers of cavity modes remain the center of attention. In many situations, the limit to the traditional cooperative phenomena of open quantum systems and thermodynamics are taken into consideration. As the book contains the class of non-linear effects of generations of the particle in such cooperative phenomena, the author's aim was to describe squeezed problems and affect entanglement between the generation photons and phonons in cooperative processes. The new phenomenon of cooperative emission in the single- and two-quantum processes are carefully described for large audiences of specialists in the field of quantum optics and condensed matter physics, chemistry and biology.
Publisher: Nova Science Publishers
ISBN: 9781634833219
Category : Open systems (Physics)
Languages : en
Pages : 0
Book Description
This monograph, "Non-linear Cooperative Effects in Open Quantum Systems: Entanglement and Second Order Coherence" is dedicated to the large auditory of specialists interested in the modern approaches in quantum open systems, cooperative phenomena between excited atoms and the field of the non-linear interaction. Special attention is dedicated to the problems of non-linear interaction with vacuum fields and thermostat with finite temperature, but quantum aspects of laser generation of light in non-linear interaction with finite numbers of cavity modes remain the center of attention. In many situations, the limit to the traditional cooperative phenomena of open quantum systems and thermodynamics are taken into consideration. As the book contains the class of non-linear effects of generations of the particle in such cooperative phenomena, the author's aim was to describe squeezed problems and affect entanglement between the generation photons and phonons in cooperative processes. The new phenomenon of cooperative emission in the single- and two-quantum processes are carefully described for large audiences of specialists in the field of quantum optics and condensed matter physics, chemistry and biology.
Lectures on Quantum Mechanics
Author: Steven Weinberg
Publisher: Cambridge University Press
ISBN: 1107028728
Category : Science
Languages : en
Pages : 379
Book Description
"Ideally suited to a one-year graduate course, this textbook is also a useful reference for researchers. Readers are introduced to the subject through a review of the history of quantum mechanics and an account of classic solutions of the Schr.
Publisher: Cambridge University Press
ISBN: 1107028728
Category : Science
Languages : en
Pages : 379
Book Description
"Ideally suited to a one-year graduate course, this textbook is also a useful reference for researchers. Readers are introduced to the subject through a review of the history of quantum mechanics and an account of classic solutions of the Schr.