Nonlinear Quantum Mechanics And Its Applications

Author : Xiao-Feng Pang
Publisher : Nova Science Publishers
ISBN 13 : 9781611220117
Total Pages : 0 pages
Book Rating : 4.14/5 ( download)

DOWNLOAD NOW!

Download or read book Nonlinear Quantum Mechanics and Its Applications written by Xiao-Feng Pang and published by Nova Science Publishers. This book was released on 2015 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Xiao-Feng Pang
Publisher : World Scientific
ISBN 13 : 9812561161
Total Pages : 646 pages
Book Rating : 4.69/5 ( download)

DOWNLOAD NOW!

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 646 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.

Author : Peter D. Drummond
Publisher : Cambridge University Press
ISBN 13 : 1107004217
Total Pages : 385 pages
Book Rating : 4.14/5 ( download)

DOWNLOAD NOW!

Download or read book The Quantum Theory of Nonlinear Optics written by Peter D. Drummond and published by Cambridge University Press. This book was released on 2014-03-27 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Arbab Ibrahim Arbab
Publisher :
ISBN 13 : 9781536142099
Total Pages : 306 pages
Book Rating : 4.93/5 ( download)

DOWNLOAD NOW!

Download or read book Quantum Mechanics written by Arbab Ibrahim Arbab and published by . This book was released on 2018 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Peter D. Drummond
Publisher : Cambridge University Press
ISBN 13 : 1139915835
Total Pages : 385 pages
Book Rating : 4.30/5 ( download)

DOWNLOAD NOW!

Download or read book The Quantum Theory of Nonlinear Optics written by Peter D. Drummond and published by Cambridge University Press. This book was released on 2014-03-27 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: Playing a prominent role in communications, quantum science and laser physics, quantum nonlinear optics is an increasingly important field. This book presents a self-contained treatment of field quantization and covers topics such as the canonical formalism for fields, phase-space representations and the encompassing problem of quantization of electrodynamics in linear and nonlinear media. Starting with a summary of classical nonlinear optics, it then explains in detail the calculation techniques for quantum nonlinear optical systems and their applications, quantum and classical noise sources in optical fibers and applications of nonlinear optics to quantum information science. Supplemented by end-of-chapter exercises and detailed examples of calculation techniques in different systems, this book is a valuable resource for graduate students and researchers in nonlinear optics, condensed matter physics, quantum information and atomic physics. A solid foundation in quantum mechanics and classical electrodynamics is assumed, but no prior knowledge of nonlinear optics is required.

Author : Dieter Schuch
Publisher : Springer
ISBN 13 : 3319655949
Total Pages : 258 pages
Book Rating : 4.49/5 ( download)

DOWNLOAD NOW!

Download or read book Quantum Theory from a Nonlinear Perspective written by Dieter Schuch and published by Springer. This book was released on 2018-01-20 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Arbab Ibrahim Arbab
Publisher :
ISBN 13 : 9781536142082
Total Pages : 0 pages
Book Rating : 4.85/5 ( download)

DOWNLOAD NOW!

Download or read book Quantum Mechanics written by Arbab Ibrahim Arbab and published by . This book was released on 2018 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Maxwells 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.

Author : Anatoliy K Prykarpatsky
Publisher : World Scientific Publishing Company
ISBN 13 : 981310239X
Total Pages : 132 pages
Book Rating : 4.92/5 ( download)

DOWNLOAD NOW!

Download or read book Quantum Field Theory with Application to Quantum Nonlinear Optics written by Anatoliy K Prykarpatsky and published by World Scientific Publishing Company. This book was released on 2002-12-19 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : Eiichi Hanamura
Publisher : Springer Science & Business Media
ISBN 13 : 3540684840
Total Pages : 241 pages
Book Rating : 4.48/5 ( download)

DOWNLOAD NOW!

Download or read book Quantum Nonlinear Optics written by Eiichi Hanamura and published by Springer Science & Business Media. This book was released on 2007-07-04 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Diederik Aerts
Publisher : World Scientific
ISBN 13 : 9814489409
Total Pages : 400 pages
Book Rating : 4.09/5 ( download)

DOWNLOAD NOW!

Download or read book Probing the Structure of Quantum Mechanics written by Diederik Aerts and published by World Scientific. This book was released on 2002-06-11 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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). Contents:Probing the Structure of Quantum Mechanics (D Aerts et al.)The Linearity of Quantum Mechanics at Stake: The Description of Separated Quantum Entities (D Aerts & F Valckenborgh)Linearity and Compound Physical Systems: The Case of Two Separated Spin 1/2 Entities (D Aerts & F Valckenborgh)Being and Change: Foundations of a Realistic Operational Formalism (D Aerts)The Classical Limit of the Lattice-Theoretical Orthocomplementation in the Framework of the Hidden-Measurement Approach (T Durt & B D'Hooghe)State Property Systems and Closure Spaces: Extracting the Classical en Non-Classical Parts (D Aerts & D Deses)Hidden Measurements from Contextual Axiomatics (S Aerts)High Energy Approaches to Low Energy Phenomena in Astrophysics (S M Austin)Memory Effects in Atomic Interferometry: A Negative Result (T Durt et al.)Reality and Probability: Introducing a New Type of Probability Calculus (D Aerts)Quantum Computation: Towards the Construction of a ‘Between Quantum and Classical Computer’ (D Aerts & B D'Hooghe)Buckley-Siler Connectives for Quantum Logics of Fuzzy Sets (J Pykacz & B D'Hooghe)Some Notes on Aerts' Interpretation of the EPR-Paradox and the Violation of Bell-Inequalities (W Christiaens)Quantum Cryptographic Encryption in Three Complementary Bases Through a Mach-Zehnder Set Up (T Durt & B Nagler)Quantum Cryptography Without Quantum Uncertainties (T Durt)How to Construct Darboux-Invariant Equations of von Neumann Type (J L Cie(li(ski)Darboux-Integrable Equations with Non-Abelian Nonlinearities (N V Ustinov & M Czachor)Dressing Chain Equations Associated with Difference Soliton Systems (S Leble)Covariance Approach to the Free Photon Field (M Kuna & J Naudts) Readership: Graduate students, researchers and academics in quantum physics. Keywords:Quantum Mechanics;Quantum Computation;Quantum Information Processing