Quantum Theory From A Nonlinear Perspective
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Quantum Theory From A Nonlinear Perspective
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Author : Dieter Schuch
language : en
Publisher: Springer
Release Date : 2018-01-20
Quantum Theory From A Nonlinear Perspective written by Dieter Schuch and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-01-20 with Science categories.
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.
Emergent Quantum Mechanics
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Author : Jan Walleczek
language : en
Publisher: MDPI
Release Date : 2019-04-02
Emergent Quantum Mechanics written by Jan Walleczek and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-04-02 with Science categories.
Emergent quantum mechanics explores the possibility of an ontology for quantum mechanics. The resurgence of interest in "deeper-level" theories for quantum phenomena challenges the standard, textbook interpretation. The book presents expert views that critically evaluate the significance—for 21st century physics—of ontological quantum mechanics, an approach that David Bohm helped pioneer. The possibility of a deterministic quantum theory was first introduced with the original de Broglie-Bohm theory, which has also been developed as Bohmian mechanics. The wide range of perspectives that were contributed to this book on the occasion of David Bohm’s centennial celebration provide ample evidence for the physical consistency of ontological quantum mechanics. The book addresses deeper-level questions such as the following: Is reality intrinsically random or fundamentally interconnected? Is the universe local or nonlocal? Might a radically new conception of reality include a form of quantum causality or quantum ontology? What is the role of the experimenter agent? As the book demonstrates, the advancement of ‘quantum ontology’—as a scientific concept—marks a clear break with classical reality. The search for quantum reality entails unconventional causal structures and non-classical ontology, which can be fully consistent with the known record of quantum observations in the laboratory.
Quantum Theory From First Principles
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Author : Giacomo Mauro D'Ariano
language : en
Publisher: Cambridge University Press
Release Date : 2017-01-28
Quantum Theory From First Principles written by Giacomo Mauro D'Ariano and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-01-28 with Science categories.
Quantum theory is the soul of theoretical physics. It is not just a theory of specific physical systems, but rather a new framework with universal applicability. This book shows how we can reconstruct the theory from six information-theoretical principles, by rebuilding the quantum rules from the bottom up. Step by step, the reader will learn how to master the counterintuitive aspects of the quantum world, and how to efficiently reconstruct quantum information protocols from first principles. Using intuitive graphical notation to represent equations, and with shorter and more efficient derivations, the theory can be understood and assimilated with exceptional ease. Offering a radically new perspective on the field, the book contains an efficient course of quantum theory and quantum information for undergraduates. It is aimed at researchers, professionals, and students in physics, computer science and philosophy, as well as the curious outsider seeking a deeper understanding of the theory.
Introduction To Quantum Mechanics
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Author : David Tannor
language : en
Publisher: MIT Press
Release Date : 2008-02-01
Introduction To Quantum Mechanics written by David Tannor and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-02-01 with Science categories.
Introduction to Quantum Mechanics is a completely original manifesto, covering quantum mechanicsfrom a time-dependent perspective in a unified way from beginning to end. This text will change the way people think about and teachabout quantum mechanics in chemistry and physics departments. This brilliant new text, a completely original manifesto, covers quantum mechanics from a time-dependent perspective in a unified way from beginning to end. Intended for upper-level undergraduate and graduate courses in quantum mechanics, this text will change the way people think about and teach about quantum mechanics in chemistry and physics departments.
Theoretical Femtosecond Physics
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Author : Frank Grossmann
language : en
Publisher: Springer
Release Date : 2018-03-21
Theoretical Femtosecond Physics written by Frank Grossmann and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-03-21 with Science categories.
This textbook extends from the basics of femtosecond physics all the way to some of the latest developments in the field. In this updated edition, the chapter on laser-driven atoms is augmented by the discussion of two-electron atoms interacting with strong and short laser pulses, as well as by a review of ATI rings and low energy structures in photo-electron spectra. In the chapter on laser-driven molecules a discussion of 2D infrared spectroscopy is incorporated. Theoretical investigations of atoms and molecules interacting with pulsed lasers up to atomic field strengths on the order of 10^16 W/cm2 are leading to an understanding of many challenging experimental discoveries. The presentation starts with a brief introduction to pulsed laser physics. The basis for the non-perturbative treatment of laser-matter interaction in the book is the time-dependent Schrödinger equation. Its analytical as well as numerical solution are laid out in some detail. The light field is treated classically and different possible gauges for the field-matter interaction are discussed. Physical phenomena, ranging from paradigmatic Rabi-oscillations in two-level systems to the ionization of atoms, the generation of high-order harmonics, the ionization and dissociation of molecules, as well as the control of chemical reactions are presented and discussed on a fundamental level. In this way, the theoretical background for state of the art experiments with strong and short laser pulses is given. The new text is augmented by several additional exercises and now contains a total of forty-eight problems, whose worked-out solutions are given in the last chapter. In addition, some detailed calculations are performed in the appendices. Furthermore, each chapter ends with references to more specialized literature.
Cosmic Analogies How Natural Systems Emulate The Universe
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Author : Valerio Faraoni
language : en
Publisher: World Scientific
Release Date : 2022-07-20
Cosmic Analogies How Natural Systems Emulate The Universe written by Valerio Faraoni and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-07-20 with Science categories.
This book discusses analogies between relativistic cosmology and various physical systems or phenomena, mostly in the earth sciences, that are described formally by the same equations. Of the two independent equations describing the universe as a whole, one (the Friedmann equation) has the form of an energy conservation equation for one-dimensional motion. The second equation is fairly easy to satisfy (although not automatic): as a result, cosmology lends itself to analogies with several systems. Given that a variety of universes are mathematically possible, several analogies exist. Analogies discussed in this book include equilibrium beach profiles, glacial valleys, the shapes of glaciers, heating/cooling models, freezing bodies of water, capillary fluids, Omori's law for earthquake aftershocks, lava flows, and a few mathematical analogies (Fibonacci's sequence, logistic equation, geodesics of various spaces, and classic variational problems). A century of research in cosmology can solve problems on the other side of an analogy, which in turn can suggest ideas in gravity. Finding a cosmic analogy solves the inverse variational problem of finding a Lagrangian and a Hamiltonian for that system, when nobody thought one exists. Often, the symmetries of the cosmological equations translate in new symmetries of the analogous system. The book surprises the reader with analogies between natural systems and exotic systems such as possible universes.
Applied Nonlinear Optics
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Author : Frits Zernike
language : en
Publisher: Courier Corporation
Release Date : 2006-01-01
Applied Nonlinear Optics written by Frits Zernike and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-01-01 with Science categories.
Directed toward physicists and engineers interested in the device applications enabled by nonlinear optics, this text is suitable for advanced undergraduates and graduate students. Its content is presented entirely on a classical basis and requires only an elementary knowledge of quantum mechanics. The authors demonstrate how real laboratory situations can diverge from ideal theory, acquainting readers with the kinds of problems common to construction of a nonlinear device. They also offer a detailed discussion of the practical problems and characteristics of nonlinear materials, as well as the selection procedures necessary to ensure the use of good material. Their treatment begins with an introduction to the theories of linear and nonlinear optics, along with the basic ideas behind them. Succeeding chapters explore phase matching and nonlinear materials, followed by detailed treatments of second-harmonic generation, parametric up-conversion, and optical parametric amplification and oscillation. Appendixes offer a comprehensive list of materials and their properties; the text concludes with references and an index.
Optimal Feedback For Stochastic Linear Quadratic Control And Backward Stochastic Riccati Equations In Infinite Dimensions
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Author : Qi Lü
language : en
Publisher: American Mathematical Society
Release Date : 2024-03-18
Optimal Feedback For Stochastic Linear Quadratic Control And Backward Stochastic Riccati Equations In Infinite Dimensions written by Qi Lü and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-03-18 with Mathematics categories.
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Absolutely Small
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Author : Michael D. Fayer
language : en
Publisher: HarperChristian + ORM
Release Date : 2023-12-19
Absolutely Small written by Michael D. Fayer and has been published by HarperChristian + ORM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-12-19 with Science categories.
Absolutely Small presents (and demystifies) the world of quantum science like no book before. Physics is a complex, daunting topic, but it is also deeply satisfying?even thrilling. When liberated from its mathematical underpinnings, physics suddenly becomes accessible to anyone with the curiosity and imagination to explore its beauty. Science without math? It's not that unusual. For example, we can understand the concept of gravity without solving a single equation. So for all those who may have pondered what makes blueberries blue and strawberries red; for those who have wondered if sound really travels in waves; and why light behaves so differently from any other phenomenon in the universe, it's all a matter of quantum physics. This book explores in considerable depth scientific concepts using examples from everyday life, such as: particles of light, probability, states of matter, what makes greenhouse gases bad Challenging without being intimidating, accessible but not condescending, Absolutely Small develops your intuition for the very nature of things at their most basic and intriguing levels.
Non Linear Perspectives On Teacher Development
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Author : Kathryn J. Strom
language : en
Publisher: Taylor & Francis
Release Date : 2023-03-21
Non Linear Perspectives On Teacher Development written by Kathryn J. Strom and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-03-21 with Education categories.
Despite the multifaceted complexity of teaching, dominant perspectives conceptualize teacher development in linear, dualistic, transactional, human-centric ways. The authors in this book offer non-linear alternatives by drawing on a continuum of complex perspectives, including CHAT, complexity theory, actor network theory, indigenous studies, rhizomatics, and posthuman/neomaterialisms. The chapters included here illuminate how different ways of thinking can help us better examine how teachers learn (relationally, with human, material, and discursive elements) and offer ways to understand the entangled nature of the relationship between that learning and what emerges in classroom instructional practice. They also present situated illustrations of what those entanglements or assemblages look like in the preservice, induction, and inservice phases, from early childhood to secondary settings, and across multiple continents. Authors provide evidence that research on teacher development should focus on process as much (if not more than) product and show that complexity perspectives can support forward-thinking, assets-based pedagogies. Methodologically, the chapters encourage conceptual creativity and expansion, and support an argument for blurring theory-method and normalising methodological hybridity. Ultimately, this book provides conceptual, theoretical, and methodological tools to understand current educational conditions in late capitalism and imagine otherwise. It was originally published as a special issue of the journal Professional Development in Education.