Interplay Of Quantum Mechanics And Nonlinearity PDF Download
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Author | : V. M. (Nitant) Kenkre |
Publisher | : Springer Nature |
Total Pages | : 328 |
Release | : 2022-03-26 |
Genre | : Science |
ISBN | : 3030948110 |
Download Interplay of Quantum Mechanics and Nonlinearity Book in PDF, ePub and Kindle
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.
Author | : Xiao-Feng Pang |
Publisher | : World Scientific |
Total Pages | : 646 |
Release | : 2005 |
Genre | : Science |
ISBN | : 9812561161 |
Download Quantum Mechanics in Nonlinear Systems Book in PDF, ePub and Kindle
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 | : Philip Barnes Burt |
Publisher | : CRC Press |
Total Pages | : 352 |
Release | : 1981 |
Genre | : Science |
ISBN | : 9783718600724 |
Download Quantum Mechanics and Nonlinear Waves Book in PDF, ePub and Kindle
Author | : Y. V. G. S. Murti |
Publisher | : Springer Nature |
Total Pages | : 188 |
Release | : 2021-07-20 |
Genre | : Science |
ISBN | : 3030739791 |
Download Physics of Nonlinear Optics Book in PDF, ePub and Kindle
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.
Author | : J. R. Croca |
Publisher | : World Scientific |
Total Pages | : 228 |
Release | : 2003 |
Genre | : Science |
ISBN | : 9812776338 |
Download Towards a Nonlinear Quantum Physics Book in PDF, ePub and Kindle
The author of this book presents conceptual and experimental evidence showing that Heisenberg''s uncertainty relations are not valid in all cases. Furthermore, he derives a more general set of uncertainty relations. The new relations result from the replacement of the Fourier nonlocal and nontemporal paradigm by wavelet local analysis. These results lead to a coherent and beautiful causal synthesis unifying quantum and classical physics.
Author | : J. R. Croca |
Publisher | : Cambridge Scholars Publishing |
Total Pages | : 226 |
Release | : 2019-11-01 |
Genre | : Science |
ISBN | : 1527542696 |
Download Dialogues on the New Physics Book in PDF, ePub and Kindle
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.
Author | : Martin C. Gutzwiller |
Publisher | : |
Total Pages | : 162 |
Release | : 2001-01-01 |
Genre | : Mechanics |
ISBN | : 9780917853982 |
Download The Interplay Between Classical and Quantum Mechanics Book in PDF, ePub and Kindle
Author | : Xiao-feng Pang |
Publisher | : World Scientific |
Total Pages | : 644 |
Release | : 2005-04-18 |
Genre | : Science |
ISBN | : 9814481238 |
Download Quantum Mechanics In Nonlinear Systems Book in PDF, ePub and Kindle
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 | : Panayotis G. Kevrekidis |
Publisher | : Springer Nature |
Total Pages | : 389 |
Release | : 2020-05-29 |
Genre | : Science |
ISBN | : 3030449920 |
Download Emerging Frontiers in Nonlinear Science Book in PDF, ePub and Kindle
This book explores the impact of nonlinearity on a broad range of areas, including time-honored fields such as biology, geometry, and topology, but also modern ones such as quantum mechanics, networks, metamaterials and artificial intelligence. The concept of nonlinearity is a universal feature in mathematics, physics, chemistry and biology, and is used to characterize systems whose behavior does not amount to a superposition of simple building blocks, but rather features complex and often chaotic patterns and phenomena. Each chapter of the book features a synopsis that not only recaps the recent progress in each field but also charts the challenges that lie ahead. This interdisciplinary book presents contributions from a diverse group of experts from various fields to provide an overview of each field’s past, present and future. It will appeal to both beginners and seasoned researchers in nonlinear science, numerous areas of physics (optics, quantum physics, biophysics), and applied mathematics (ODEs, PDEs, dynamical systems, machine learning) as well as engineering.
Author | : Heinz-dietrich Doebner |
Publisher | : World Scientific |
Total Pages | : 300 |
Release | : 2000-01-22 |
Genre | : Science |
ISBN | : 9814543349 |
Download Trends In Quantum Mechanics - Proceedings Of The International Symposium Book in PDF, ePub and Kindle
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: