Download or read book Interplay of Quantum Mechanics and Nonlinearity written by V. M. (Nitant) Kenkre and published by Springer Nature. This book was released on 2022-03-26 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents an in-depth study of the discrete nonlinear Schrödinger equation (DNLSE), with particular emphasis on spatially small systems that permit analytic solutions. In many quantum systems of contemporary interest, the DNLSE arises as a result of approximate descriptions despite the fundamental linearity of quantum mechanics. Such scenarios, exemplified by polaron physics and Bose-Einstein condensation, provide application areas for the theoretical tools developed in this text. The book begins with an introduction of the DNLSE illustrated with the dimer, development of fundamental analytic tools such as elliptic functions, and the resulting insights into experiment that they allow. Subsequently, the interplay of the initial quantum phase with nonlinearity is studied, leading to novel phenomena with observable implications in fields such as fluorescence depolarization of stick dimers, followed by analysis of more complex and/or larger systems. Specific examples analyzed in the book include the nondegenerate nonlinear dimer, nonlinear trapping, rotational polarons, and the nonadiabatic nonlinear dimer. Phenomena treated include strong carrier-phonon interactions and Bose-Einstein condensation. This book is aimed at researchers and advanced graduate students, with chapter summaries and problems to test the reader’s understanding, along with an extensive bibliography. The book will be essential reading for researchers in condensed matter and low-temperature atomic physics, as well as any scientist who wants fascinating insights into the role of nonlinearity in quantum physics.
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.
Download or read book Quantum Mechanics and Nonlinear Waves written by Philip Barnes Burt and published by CRC Press. This book was released on 1981 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Towards a Nonlinear Quantum Physics written by J. R. Croca and published by World Scientific. This book was released on 2003 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Physics of Nonlinear Optics written by Y. V. G. S. Murti and published by Springer Nature. This book was released on 2021-07-20 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is designed to serve as a textbook for courses offered to upper-undergraduate students enrolled in physics. The first edition of this book was published in 2014. As there is a demand for the next edition, it is quite natural to take note of the several advances that have occurred in the subject over the past five years and to decide which of these are appropriate for inclusion at the textbook level, given the fundamental nature and the significance of the subject area. This is the prime motivation for bringing out a revised second edition. Among the newer mechanisms and materials, the book introduces the super-continuum generation, which arises from an excellent interplay of the various mechanisms of optical nonlinearity. The topics covered in this book are quantum mechanics of nonlinear interaction of matter and radiation, formalism and phenomenology of nonlinear wave mixing processes, optical phase conjugation and applications, self-focusing and self-phase modulation and their role in pulse modification, nonlinear absorption mechanisms, and optical limiting applications, photonic switching and bi-stability, and physical mechanisms leading to a nonlinear response in a variety of materials. This book has emerged from an attempt to address the requirement of presenting the subject at the college level. This textbook includes rigorous features such as the elucidation of relevant basic principles of physics; a clear exposition of the ideas involved at an appropriate level; coverage of the physical mechanisms of non-linearity; updates on physical mechanisms and emerging photonic materials and emphasis on the experimental study of nonlinear interactions. The detailed coverage and pedagogical tools make this an ideal textbook for students and researchers enrolled in physics and related courses.
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
Download or read book Non linear and Collective Phenomena in Quantum Physics written by J. L. Gervais and published by World Scientific. This book was released on 1983 with total page 538 pages. Available in PDF, EPUB and Kindle. Book excerpt: http://www.worldscientific.com/worldscibooks/10.1142/0040
Download or read book Trends in Quantum Mechanics written by H-D Doebner and published by World Scientific. This book was released on 2000-01-22 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contents:Relationships Between q-Deformations, Typical Length Scales and Lower Measurability Bounds (E Papp)Description of Kerr States via Deformed Bosons (A I Solomon et al.)Quantum Mechanics on Phase Spaces ZN x ZN (J Tolar)Continuous Fuzzy Measurement of Energy: Realization and Application (J Audretsch)Decoherence and the Final Pointer Basis (M Castagnino & R Laura)On Hybrid Dynamics of the Copenhagen Dichotomic World (L Diósi)Storage and Read-Out of Quantum-State Information via Interference (M Freyberger et al.)Is There a Gravitational Collapse of the Wave-Packet? (H-J Schmidt)Operators and Maps Affiliated to EPR Channels (A Uhlmann)Reconstruction of Quantum States and Its Conceptual Implications (S Weigert)Geometric Formulation of Nonlinear Quantum Mechanics for Density Matrices (P Bóna)Fundamental Principles of Quantum Mechanics and Non(Linearity) (R Cirelli et al.)Nonlinear von Neumann-Type Equations (M Czachor et al.)Some Aspects of Nonlinearity and Gauge Transformation in Quantum Mechanics (G A Goldin)On a Theorem of Ashtekar and Lewandowski in the Mathematical Framework of Canonical Quantization in Quantum Gravity (H Baumgärtel)The Fuzzy (Super)Sphere and Field Theory (H Grosse & G Reiter)Quantum Fields Along Worldlines (M Keyl)Field Theory Revisited (C Piron)and other papers Readership: Mathematical physicists. Keywords:
Download or read book Nonlinear Deformed And Irreversible Quantum Systems Proceedings Of The International Symposium On Mathematical Physics written by Heinz-dietrich Doebner and published by World Scientific. This book was released on 1995-08-31 with total page 494 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years nonlinear and irreversible quantum mechanics is becoming increasingly important because of the availability of precision experiments. There are new and successful attempts to understand quantum irreversibility. The development of generalized symmetries has to led to new families of evolution equations for pure and mixed states. On the one hand, this timely symposium covers nonlinear and irreversible quantum mechanics, the theory of quantization methods, causality and various problems important in this context. On the other hand, it reports the development of quantum group symmetries, and of methods to construct deformed quantum mechanical evolution equations like the q-deformed Schrödinger equations.
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
Download or read book Quantum Interaction written by Dawei Song and published by Springer Science & Business Media. This book was released on 2011-10-21 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the thoroughly refereed post-conference proceedings of the 5th International Symposium on Quantum Interaction, QI 2011, held in Aberdeen, UK, in June 2011. The 26 revised full papers and 6 revised poster papers, presented together with 1 tutorial and 1 invited talk were carefully reviewed and selected from numerous submissions during two rounds of reviewing and improvement. The papers show the cross-disciplinary nature of quantum interaction covering topics such as computation, cognition, mechanics, social interaction, semantic space and information representation and retrieval.
Download or read book Quantum Interaction written by Peter Bruza and published by Springer. This book was released on 2009-03-18 with total page 315 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the Third International Symposium on Quantum Interaction, QI 2009, held in Saarbrücken, Germany, in March 2009. The 21 revised full papers presented together with the 3 position papers were carefully reviewed and selected from numerous submissions. The papers show the cross-disciplinary nature of quantum interaction covering topics such as computation, cognition, decision theory, information retrieval, information systems, social interaction, computational linguistics and finance.
Download or read book Dialogues on the New Physics written by J. R. Croca and published by Cambridge Scholars Publishing. This book was released on 2019-11-01 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Selected Topics in Applications of Quantum Mechanics written by Mohammad Reza Pahlavani and published by BoD – Books on Demand. This book was released on 2015-05-13 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book has two sections. The section Selected Topics in Applications of Quantum Mechanics provides seven chapters about different applications of quantum mechanics in science and technology. The section Selected Topics in Foundations of Quantum Mechanics provides seven chapters about the foundations of quantum mechanics. This book is written by a community of expert scientists from different research institutes and universities from all over the world. Without a doubt, quantum mechanics is the greatest discovery of the 20th century. Therefore, its history and foundations are of great interest to scientists and students. This book covers some of the applications of quantum mechanics in nuclear physics, medical science, information technology, atomic physics and material science, as well as selected topics of quantum mechanics through different bases and ideas about quantum mechanics. The basic idea of the publication of this book is to make scientists and researchers, as well as graduate students, familiar with the foundations of quantum mechanics.
Download or read book Encyclopedia of Nonlinear Science written by Alwyn Scott and published by Routledge. This book was released on 2006-05-17 with total page 2881 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 438 alphabetically-arranged essays, this work provides a useful overview of the core mathematical background for nonlinear science, as well as its applications to key problems in ecology and biological systems, chemical reaction-diffusion problems, geophysics, economics, electrical and mechanical oscillations in engineering systems, lasers and nonlinear optics, fluid mechanics and turbulence, and condensed matter physics, among others.
Download or read book Nonlinear Optics and Laser Emission through Random Media written by Viola Folli and published by Springer Science & Business Media. This book was released on 2012-06-14 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt: Disorder is everywhere, inherently present in nature, and is commonly believed to be a synonymous with disturbance. As a consequence, the methodical and customary study of the dynamics of the electromagnetic field, both in the linear and nonlinear optical regimes, leans to rule out it from the treatment. On the other hand, nonlinearity enriches the physical disciplines and brings them closer to reality with respect to the linear approximation. Nonlinearity allows to stimulate a wide and rich ensemble of optical responses that beautifies the role of matter in the active processes with electromagnetic fields. Independently of each other, both of these mechanisms foster localization of light. What happens when light enlightens their synergistic interaction? When pushed together, light, disorder and nonlinearity make new and intriguing phenomena emerge. This text provides a comprehensive investigation of the role of disorder in the nonlinear optical propagation both in transparent media and lasers. Eventually, disorder promotes and enhances complex nonlinear dynamics opening new perspectives in applied research driven by the processes of localization of the electromagnetic field. The first experimental study of laser emission in granular media unveils how randomness magnifies and largely affect laser-matter interactions. Viola Folli in her research work touches and deepens the leading milestones of the new science named Complex Photonics.
Download or read book Quantum Causality written by Peter J. Riggs and published by Springer Science & Business Media. This book was released on 2009-06-05 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: There is no sharp dividing line between the foundations of physics and philosophy of physics. This is especially true for quantum mechanics. The debate on the interpretation of quantum mechanics has raged in both the scientific and philosophical communities since the 1920s and continues to this day. (We shall understand the unqualified term ‘quantum mechanics’ to mean the mathematical formalism, i. e. laws and rules by which empirical predictions and theoretical advances are made. ) There is a popular rendering of quantum mechanics which has been publicly endorsed by some well known physicists which says that quantum mechanics is not only 1 more weird than we imagine but is weirder than we can imagine. Although it is readily granted that quantum mechanics has produced some strange and counter-intuitive results, the case will be presented in this book that quantum mechanics is not as weird as we might have been led to believe! The prevailing theory of quantum mechanics is called Orthodox Quantum Theory (also known as the Copenhagen Interpretation). Orthodox Quantum Theory endows a special status on measurement processes by requiring an intervention of an observer or an observer’s proxy (e. g. a measuring apparatus). The placement of the observer (or proxy) is somewhat arbitrary which introduces a degree of subjectivity. Orthodox Quantum Theory only predicts probabilities for measured values of physical quantities. It is essentially an instrumental theory, i. e.
