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With equal emphasis on intuition and formalism, this text provides a unified, comprehensive, and coherent introduction to continuum physics that requires only some Newtonian mechanics and modest mathematical prerequisites that are further developed in the text. Based on the author's years of teaching the subject, the book is highly structured and useful on several tracks: as the main text for a course on continuum physics or as the foundation for courses on more specialized areas, such as solid mechanics, fluid mechanics, geophysics, and astrophysics. It contains all the usual features of a textbook: plenty of illustrations, problem sets with solutions, and an introduction to numerical simulations. OTIs OTI 1 IP177
Physics --- Field theory (Physics) --- Field theory (Physics).
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Many of the essays were first presented as papers at the conference Ontological Aspects of Quantum Field Theory, held at the Zentrum fur interdisziplinare Forschung (Center for Interdisciplinary Research, ZiF), Bielefeld Germany, in October 1999
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This book contains a collection of essays written in honor of Wolfhart Zimmermann's 80th birthday, most of them based on talks presented at a symposium in his honor.The book shows the unifying force of a subject (Quantum Field Theory) and a person (Zimmermann). It ranges from fundamental questions in quantum physics over applications to particle physics and noncommutative geometry to the latest developments in many body theory and dynamical systems. These key ideas are elucidated by worldwide-recognized experts including Faddeev, Becchi, Buchholz, Lowenstein and Salmhofer.Readers seeking examp
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This book explains the concepts and basic mathematics of quantum computing and communication. Chapters cover such topics as quantum algorithms, photonic implementations of discrete-time quantum walks, how to build a quantum computer, and quantum key distribution and teleportation, among others.
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The results of renormalized perturbation theory, in QCD and other quantum field theories, are ambiguous at any finite order, due to renormalization-scheme dependence. The perturbative results depend upon extraneous scheme variables, including the renormalization scale, that the exact result cannot depend on. Such 'non-invariant approximations' occur in many other areas of physics, too. The sensible strategy is to find where the approximant is stationary under small variations of the extraneous variables. This general principle is explained and illustrated with various examples. Also dimensional transmutation, RG equations, the essence of renormalization and the origin of its ambiguities are explained in simple terms, assuming little or no background in quantum field theory. The minimal-sensitivity approach leads to 'optimized perturbation theory,' which is developed in detail. Applications to Re⁺e⁻, the infrared limit, and to the optimization of factorized quantities, are also discussed thoroughly.
Quantum field theory. --- Quantum field theory --- Research.
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This book explains the concepts and basic mathematics of quantum computing and communication. Chapters cover such topics as quantum algorithms, photonic implementations of discrete-time quantum walks, how to build a quantum computer, and quantum key distribution and teleportation, among others.
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Both mathematics and mathematical physics have many active areas of research where the interplay between geometry and quantum field theory has proved extremely fruitful. Duality, gauge field theory, geometric quantization, Seiberg-Witten theory, spectral properties and families of Dirac operators, and the geometry of loop groups offer some striking recent examples of modern topics which stand on the borderline between geometry and analysis on the one hand and quantum field theory on the other, where the physicist's and the mathematician's perspective complement each other, leading to new mathe
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