Interplay Of Quantum Mechanics And Nonlinearity

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Interplay Of Quantum Mechanics And Nonlinearity

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Author : V. M. (Nitant) Kenkre
language : en
Publisher: Springer Nature
Release Date : 2022-03-26

Interplay Of Quantum Mechanics And Nonlinearity written by V. M. (Nitant) Kenkre and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-03-26 with Science categories.

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.

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 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.

Physics Of Nonlinear Optics

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Author : Y. V. G. S. Murti
language : en
Publisher: Springer Nature
Release Date : 2021-07-20

Physics Of Nonlinear Optics written by Y. V. G. S. Murti and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-07-20 with Science categories.

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.

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.

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.

Nonlinear Deformed And Irreversible Quantum Systems Proceedings Of The International Symposium On Mathematical Physics

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Author : Heinz-dietrich Doebner
language : en
Publisher: World Scientific
Release Date : 1995-08-31

Nonlinear Deformed And Irreversible Quantum Systems Proceedings Of The International Symposium On Mathematical Physics written by Heinz-dietrich Doebner and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-08-31 with categories.

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.

Trends In Quantum Mechanics Proceedings Of The International Symposium

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Author : Heinz-dietrich Doebner
language : en
Publisher: World Scientific
Release Date : 2000-01-22

Trends In Quantum Mechanics Proceedings Of The International Symposium written by Heinz-dietrich Doebner and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-01-22 with Science categories.

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:

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 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