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Blatter H: Radical Relativity

Radical Relativity

An Uncommon Way to Spacetime

Oxford Graduate Texts

Quasi-adiabatic theory has applications across disciplines, from quantum computing and cosmology to materials science and atomic physics. This textbook provides, for the first time, a comprehensive introduction to quasi-adiabatic effects. In modern physics, the term "adiabatic" refers to the slow evolution limit. Nonadiabatic transitions are well understood also. Conversely, quasi-adiabatic theory pertains to a systematically developed theory revealing numerous time-dependent evolutions in physics that, while slow, are not genuinely adiabatic. It is rich in effects that can be understood even in models with complex many-body interactions. Examples from research in quantum computing, phase transitions, ultra-cold atoms, and quantum control are used throughout to illustrate these effects. Quasi-Adiabatic Effects: Introduction to Geometric Phases and Landau-Zener Transitions is aimed at students at graduate level and beyond, who are interested in quantum and classical mechanics, as well as complex analysis. The book seeks to fill a gap in the literature by providing an accessible introduction to both geometric phases and nonadiabatic transitions at a level sufficient to consider numerous applications. Some of the processes found here are discussed for the first time in a textbook format, including the Dykhne formula (Chapter 8) and multistate Landau-Zener theory (Chapter 11). This unique material makes Quasi-Adiabatic Effects a novel and important addition to the textbook literature of several topics encountered in modern research. Throughout the book, students will find discussions and complex analysis of these processes as well as problems to solve (with solutions also provided). The problems help refresh several elementary techniques which will become progressively useful throughout the chapters.

Introduction to Geometric Phases and Landau-Zener Transitions

Quasi-Adiabatic Effects

Fractional Calculus presents a concise introduction to the basic methods and strategies in fractional calculus which enables the reader to catch up with the state-of-the-art in this field and to participate and contribute to the development of this exciting research area. It is especially devoted to the application of fractional calculus on physical problems. The fractional concept is applied to subjects in classical mechanics, image processing, folded potentials in cluster physics, infrared spectroscopy, group theory, quantum mechanics, nuclear physics, hadron spectroscopy up to quantum field theory and will surprise the reader with new intriguing insights.This new, extended edition includes additional chapters about the optical model in view of fractional calculus, using machine learning to detect anti-causal sound samples, remarks on covariance in non-local field theories and a completely new section on numerical algorithms for fractional calculus. Motivated by positive responses, new exercises with elaborated solutions are added, significantly supporting a deeper understanding of the general aspects of the theory.Besides students and researchers in this field, this book will also be useful as a supporting medium for teachers teaching courses devoted to this subject.

Fractional Calculus: An Introduction For Physicists (Fourth Edition)

De Gruyter Studies in Mathematical Physics

Mirror symmetry is one of the most exciting ideas in mathematics to emerge in the last two decades. It was introduced in physics as a duality between superconformal field theories. This book discusses this rapidly developing aspect of string theory.

Laurent Polynomials in Mirror Symmetry

Die besten Sprüche

Alles ist relativ

This will be the 7th book in the author's 'Lectures on ...' book series, and the first aimed at graduate-level readers(two additional graduate texts are in preparation). Primarily intended for physics graduate students, the book is accessible to advanced undergraduates and will appeal to students with a background in statistics and a keen interest in quantum physics. By the end of this book, readers will be well-prepared for working on research projects that require the drawing of inference from the noisy data collected in quantum experiments, as epitomized by quantum state estimation.The book begins with chapters on the basics of estimation theory and the basics of quantum theory. This includes, in particular, the roles played by the frequentist methods of statistics, which are crucial when planning an experiment, and the Bayesian methods, which are the tools for drawing inference from the actual data gathered. A central concept is that of optimal error regions that supplement the point estimators ('best guesses') with the analogs of error bars in the high-dimensional parameter space; there is, in particular, the plausible region which comprises all point estimators supported by the data.Practical applications require the evaluation of high-dimensional integrals with the aid of Monte Carlo integration. For that, one needs to draw samples of quantum states from the relevant distributions, namely the priors and posteriors of Bayesian methodology. The book discusses the algorithms well-suited for this kind of sampling, which is central to the processing of real-life data.The book illustrates all concepts with pertinent examples and offers numerous exerciseswhich the readers can practice and perfect their skills with. The presentation is detailed and does not skip technical steps, which makes the book particularly valuable for self-studying readers and as textbook adopted by lecturers teaching courses on this or related topics. While the book is based on lecture notes developed for the author's courses on quantum state estimation at NUS and BIT, this book also offers a comprehensive account of the concepts and methods developed in the author's group at CQT and presents this material in textbook form for the first time.

Lectures On Quantum State Estimation

De Gruyter Studies in Mathematics

Orthogonal Polynomials

This book on Quantum Mechanics starts with the known field equation of Electrodynamics. Then comes the following steps: in the case of very weak fields the electromagnetic field equation becomes the quantum mechanical wave equation for single photons. This equation is generalized for massive particles (Klein-Gordon equation). The non-relativistic limit of this is the free Schrödinger equations. In this way the correspondence rules (leading from the Hamilton function to the Hamilton operator) are motivated.On the whole, this book concentrates on applications, and on how things can be calculated . The formal structures are treated to the necessary extent.The applications include all standard topics (including alpha-decay, the hydrogen atom including relativistic correction, angular moment coupling, the Stark effect) and proceed to many-body problems. This includes an introduction of the shell model of the atom and that of the atomic nucleus.

Quantum Mechanics: An Introduction For Physicists

Why Not Nonlinear Algebra: Math, Science, Applications And Funding

This textbook presents an introduction to continuum mechanics covering fundamental mathematical tools, general laws and major models. The material is based on lectures held at Gubkin's Russian State University of Oil and Gas. It also includes material related to a joint research seminar with the Institute of Problems in Mechanics of the Russian Academy of Science. The knowledge provided is necessary to understand the structure of existing models, to read and understand the literature and to apply existing methods consciously. Results from computer simulations of virtual models of oil-gas-production are presented to illustrate applications.&nbsp;Graduate students as well as researchers in applied mathematics will benefit from this self-contained text which is enriched by many examples and exercises.
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With Applications to Oil and Gas Development

Introduction to Continuum Mechanics

Theory, Observations, and Applications

An Introduction to General Relativity and Cosmology

Radical Relativity

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