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.

Synthetic Aperture Radar Image Processing Algorithms For Nonlinear Oceanic Turbulence And Front Modeling

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Author : Maged Marghany
language : en
Publisher: Elsevier
Release Date : 2024-07-09

Synthetic Aperture Radar Image Processing Algorithms For Nonlinear Oceanic Turbulence And Front Modeling written by Maged Marghany and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-07-09 with Science categories.

Synthetic Aperture Radar Image Processing Algorithms for Nonlinear Oceanic Turbulence and Front Modelling is both a research- and practice-based reference that bridges the gap between the remote sensing field and the dynamic oceanography exploration field. In this perspective, the book explicates how to apply techniques in synthetic aperture radar and quantum interferometry synthetic aperture radar (QInSAR) for oceanic turbulence and front simulation and modelling. The book includes detailed algorithms to enable readers to better understand and implement the practices covered in their own work and apply QInSAR to their own research.This multidisciplinary reference is useful for researchers and academics in dynamic oceanography and modelling, remote sensing and aquatic science, as well as geographers, geophysicists, and environmental engineers - Details the potential of synthetic aperture radar in imaging ocean surface dynamical features - Includes detailed algorithms and methods, allowing readers to develop their own computer algorithms - Covers the latest applications of quantum image processing

Nonlinear Optics And Laser Emission Through Random Media

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Author : Viola Folli
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-06-14

Nonlinear Optics And Laser Emission Through Random Media written by Viola Folli and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-06-14 with Technology & Engineering categories.

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.

Quantization In Astrophysics Brownian Motion And Supersymmetry

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Author : Florentin Smarandache
language : en
Publisher: Infinite Study
Release Date : 2007

Quantization In Astrophysics Brownian Motion And Supersymmetry written by Florentin Smarandache and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Science categories.

Non Linear Lattice

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Author : Ignazio Licata and Sauro Succi
language : en
Publisher: MDPI
Release Date : 2018-07-17

Non Linear Lattice written by Ignazio Licata and Sauro Succi and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-07-17 with Science categories.

This book is a printed edition of the Special Issue "Non-Linear Lattice" that was published in Entropy

Light Matter Interaction

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Author : Wendell T. Hill, III
language : en
Publisher: John Wiley & Sons
Release Date : 2008-06-25

Light Matter Interaction written by Wendell T. Hill, III and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-06-25 with Science categories.

This book draws together the principal ideas that form the basis of atomic, molecular, and optical science and engineering. It covers the basics of atoms, diatomic molecules, atoms and molecules in static and electromagnetic fields and nonlinear optics. Exercises and bibliographies supplement each chapter, while several appendices present such important background information as physics and math definitions, atomic and molecular data, and tensor algebra. Accessible to advanced undergraduates, graduate students, or researchers who have been trained in one of the conventional curricula of physics, chemistry, or engineering but who need to acquire familiarity with adjacent areas in order to pursue their research goals.

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.

Nonlinearity In Condensed Matter

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Author : Alan R. Bishop
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Nonlinearity In Condensed Matter written by Alan R. Bishop and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.

The Sixth Annual Conference of the Center for Nonlinear Studies at the Los Alamos National Laboratory was held May 5-9, 1986, on the topic "Nonlinearity in Condensed Matter: Lessons from the Past and Prospects for the Future. " As conference organizers, we felt that the study of non linear phenomena in condensed matter had matured to the point where it made sense to take stock of the numerous lessons to be learned from a variety of contexts where nonlinearity plays a fundamental role and to evaluate the prospects for the growth of this general discipline. The successful 1978 Oxford Symposium on nonlinear (soliton) struc ture and dynamics in condensed matter (Springer Ser. Solid-State Sci. , Vol. 8) was held at a time when the ubiquity of solitons was just begin ning to be appreciated by the condensed matter community; in subsequent years the soliton paradigm has provided a rather useful framework for in vestigating a large number of phenomena, particularly in low-dimensional systems. Nevertheless, we felt that the importance of nonlinearity in wider arenas than "solitonics" merited a significant expansion in the scope of the conference over that of the 1978 symposium. Indeed, many of the lessons are quite general and their potential for cross-fertilization of otherwise poorly connected disciplines was certainly one of the prime motivations for this conference. Thus, while these proceedings contain many contribu tions pertaining to soliton behavior in different contexts, the reader will find much more as well, particularly in the later chapters.

21st Century Nonlinear Optics

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Author : Pasquale De Marco
language : en
Publisher: Pasquale De Marco
Release Date : 2025-03-10

21st Century Nonlinear Optics written by Pasquale De Marco and has been published by Pasquale De Marco this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-03-10 with Science categories.

Embark on an enlightening journey into the captivating world of nonlinear optics, where light and matter engage in an intricate dance, revealing extraordinary phenomena and unlocking transformative technologies. This comprehensive guide delves into the heart of nonlinear optics, unraveling its fundamental principles, groundbreaking applications, and future prospects. Within these pages, you will discover a wealth of knowledge, meticulously organized into chapters that illuminate the diverse aspects of this captivating field. From the historical roots of nonlinear optics to its cutting-edge advancements, you will gain a deep understanding of the underlying mechanisms that govern the interaction of light with matter. Explore the fascinating realm of nonlinear effects, where light exhibits remarkable behaviors that defy its conventional linear response. Witness the generation of new frequencies, the manipulation of light's properties, and the creation of exotic states of matter. Delve into the intricacies of solitons, parametric amplification, and quantum entanglement, unraveling the secrets behind these intriguing phenomena. Uncover the vast potential of nonlinear optics in diverse applications that span a multitude of industries. Learn how nonlinear optics enables ultra-fast optical communications, compact and efficient data storage, and ultra-sensitive medical imaging. Discover its transformative impact on sensing technologies, environmental monitoring, and the creation of novel materials with tailored properties. Peer into the future of nonlinear optics and envision the emerging frontiers that hold the promise of groundbreaking discoveries. Explore the exciting possibilities of quantum nonlinear optics, topological nonlinear optics, and nonlinear optics in extreme environments. Witness how nonlinear optics is poised to revolutionize fields as diverse as medicine, energy, and artificial intelligence. With its in-depth explanations, illustrative examples, and engaging narrative, this book is an essential resource for anyone seeking to delve into the wonders of nonlinear optics. Whether you are a seasoned researcher, an aspiring student, or simply a curious enthusiast, this comprehensive guide will equip you with the knowledge and insights necessary to navigate this rapidly evolving field. If you like this book, write a review!

Nonlinear Effects In Quantum Lattices

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Author : Dmitri Nevedrov
language : en
Publisher:
Release Date : 1999

Nonlinear Effects In Quantum Lattices written by Dmitri Nevedrov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Lattice dynamics categories.