Towards a Nonlinear Quantum Physics

Towards a Nonlinear Quantum Physics
Author: J. R. Croca
Publisher: World Scientific
Total Pages: 228
Release: 2003
Genre: Science
ISBN: 9812382100

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.

Nonlinear Quantum Mechanics and Its Applications

Nonlinear Quantum Mechanics and Its Applications
Author: Xiao-Feng Pang
Publisher: Nova Science Publishers
Total Pages: 0
Release: 2015
Genre: Nonlinear theories
ISBN: 9781611220117

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.

Quantum Theory from a Nonlinear Perspective

Quantum Theory from a Nonlinear Perspective
Author: Dieter Schuch
Publisher: Springer
Total Pages: 261
Release: 2018-01-20
Genre: Science
ISBN: 3319655949

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 Quantum Theory of Nonlinear Optics

The Quantum Theory of Nonlinear Optics
Author: Peter D. Drummond
Publisher: Cambridge University Press
Total Pages: 385
Release: 2014-03-27
Genre: Science
ISBN: 1107004217

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.

Nonlinear Dynamics and Quantum Chaos

Nonlinear Dynamics and Quantum Chaos
Author: Sandro Wimberger
Publisher: Springer
Total Pages: 215
Release: 2014-05-13
Genre: Science
ISBN: 331906343X

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.

Lectures on Quantum Mechanics

Lectures on Quantum Mechanics
Author: Steven Weinberg
Publisher: Cambridge University Press
Total Pages: 379
Release: 2013
Genre: Science
ISBN: 1107028728

"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.

Quantum Field Theory with Application to Quantum Nonlinear Optics

Quantum Field Theory with Application to Quantum Nonlinear Optics
Author: Anatoli? Karolevich Prikarpatski?
Publisher: World Scientific
Total Pages: 136
Release: 2002
Genre: Science
ISBN: 9789812381644

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.

Introduction to Nonlinear Physics

Introduction to Nonlinear Physics
Author: Lui Lam
Publisher: Springer Science & Business Media
Total Pages: 436
Release: 2003-11-14
Genre: Science
ISBN: 9780387406145

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.

Quantum Nonlinear Optics

Quantum Nonlinear Optics
Author: Eiichi Hanamura
Publisher: Springer Science & Business Media
Total Pages: 241
Release: 2007-07-04
Genre: Science
ISBN: 3540684840

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.

Dialogues on the New Physics

Dialogues on the New Physics
Author: J. R. Croca
Publisher: Cambridge Scholars Publishing
Total Pages: 226
Release: 2019-11-01
Genre: Science
ISBN: 1527542696

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.