Books in the Fundamental Theories of Physics series

The classical and quantum dynamics of conservative systems governs the behavior of much of the world around us - from the dynamics of galaxies to the vibration and electronic behavior of molecules and the dynamics of systems formed from or driven by laser radiation. Most conservative dynamical systems contain some degree of chaotic behavior, ranging from a self-similar mixture of regular and chaotic motion, to fully developed chaos. This chaotic behavior has a profound effect on the dynamics.This book combines mathematical rigor with examples that illuminate the dynamical theory of chaotic systems. The emphasis of the 3rd Edition is on topics of modern interest, including scattering systems formed from molecules and nanoscale quantum devices, quantum control and destabilization of systems driven by laser radiation, and thermalization of condensed matter systems. The book is written on a level accessible to graduate students and to the general research community.

continues with a detailed discussion of area-preserving maps, integrable quantum systems, spectral properties, path integrals, and periodically driven systems;

This book is a tribute to the scientific legacy of GianCarlo Ghirardi, who was one of the most influential scientists in the field of modern foundations of quantum theory.

Silvia Bianchi and Claus Kiefer Introduction.- Jeremy Butterfield and Sebastian de Haro  On Gauge, Symmetry and Duality.- Gabriel Catren On Gauge Symmetries, Indiscernibilities, and Groupoid-Theoretical Identities .- Laura Covi Gauge fields in cosmology.- Silvia De Bianchi Weyl''s Raum-Zeit-Materie and the Philosophy of Science.- Dennis Dieks Hermann Weyl, Philosophy and Gauge.- Friedrich Hehl The conserved energy-momentum current of matter as the basis for the gauge theory of gravitation.- Claus Kiefer Space, Time, Matter in Quantum Gravity.- Thomas Ryckman Hermann Weyl: symbolic construction from the purely infinitesimal & gauge invariance.- Carlo Rovelli Gauge is not mathematical redundancy.- Erhard Scholz Gauging the spacetime metric -- looking back and forth a century later.- Thomas Sch├╝cker  The gauge theoretical underpinnings of general relativity.- Christian Steinwachs Higgs field in cosmology.- Norbert Straumann Hermann Weyl''s Space-Time Geometry and the Origin of Gauge Theory 100 Years ago.- Gerard ''t Hooft Past and Future of Gauge Theory.- Francesca Vidotto Loop Quantum Gravity: a general-covariant lattice gauge theory.- Christof Wetterich Scale symmetry in Quantum Gravity and cosmology.

This book presents a multidisciplinary guide to gauge theory and gravity, with chapters by the world¿s leading theoretical physicists, mathematicians, historians and philosophers of science. The contributions from theoretical physics explore e.g. the consistency of the unification of gravitation and quantum theory, the underpinnings of experimental tests of gauge theory and its role in shedding light on the relationship between mathematics and physics. In turn, historians and philosophers of science assess the impact of Weyl¿s view on the philosophy of science. Graduate students, lecturers and researchers in the fields of history of science, theoretical physics and philosophy of science will benefit from this book by learning about the role played by Weyl¿s Raum-Zeit-Materie in shaping several modern research fields, and by gaining insights into the future prospects of gauge theory in both theoretical and experimental physics. Furthermore, the book facilitates interdisciplinary exchange and conceptual innovation in tackling fundamental questions about our deepest theories of physics. Chapter ¿Weyl¿s Raum-Zeit-Materie and the Philosophy of Science¿ is available open access under a Creative Commons Attribution 4.0 International License via link.springer.com

This book is a tribute to the scientific legacy of GianCarlo Ghirardi, who was one of the most influential scientists in the field of modern foundations of quantum theory.

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. The Riccati equation, a nonlinear equation that can be linearized, has the potential to link these two worlds when applied to complex quantities.

The focus is on getting a mathematically sound connection between causal fermion systems and physical systems in Minkowski space.The book is intended for graduate students entering the field, and is furthermore a valuable reference work for researchers in quantum field theory and quantum gravity.

This book describes a relativistic quantum theory developed by the author starting from the E.C.G. This theory is able to provide solutions for some of the fundamental problems encountered in early attempts to construct a relativistic quantum theory.

geometrodynamical and loop quantum gravity approaches to quantum GR, quantum cosmology, supergravity and M-theory - are background independent in this sense.

i.e., interacting systems that have distinct classical and quantum sectors, allowing for consistent descriptions of quantum systems interacting with classical measurement devices and quantum matter fields interacting gravitationally with a classical spacetime.

This book presents a comprehensive mathematical study of the operators behind the Born-Jordan quantization scheme. Thus, Born-Jordan quantization provides the only physically consistent quantization scheme, as opposed to the Weyl quantization commonly used by physicists.

This book explains non-locality and its relationship to causality and probability in quantum theory. It displays foundational characteristics of quantum physics to understand conceptual origins of the unusual nature of quantum phenomena.

Based on the authors' everyday research experiences in the field of high-energy heavy-ion collisions, this volume bundles temperature, heat, entropy and disorder into modern physics. The main focus is thermodynamics -- the very concept of temperature, its use, and extensions.

This graduate level introduction explores the extended theories of gravity and cosmology, including variational principles, the weak-field limit, gravitational waves, and more. Complete with a consistent notation and rich references, the text unifies the existing literature in this area.

There are many excellent books on quantum theory from which one can learn to compute energy levels, transition rates, cross sections, etc. The purpose of this book is to clarify the conceptual meaning of quantum theory, and to explain some of the mathematical methods which it utilizes.

"Quantum Physics of the Solid State: an Introduction" Draft foreword: 26/09/03 If only this book had been available when I was starting out in science!

Matrix algebra has been called "the arithmetic of higher mathematics" [Be]. Especially notable are those algebras which have been used for this purpose in physics, in particular, the system of complex numbers, the quatemions, matrix algebra, vector, tensor and spinor algebras and the algebra of differential forms.

For the past 20 years causality violations and superluminal motion have been the object of intensive study as physical and geometrical phenomena. How much "exotic matter" would it take to create a time machine or a warp drive? What is the difference between a "discovered" time machine and a created one?

This book provides a compilation of in-depth articles and reviews on key topics within gravitation, cosmology and related issues. With this in mind, the aim of this compilation is to provide an accessible pedagogic introduction to, and overview of, various important topics in cosmology, gravitation and astrophysics.

In this book, leading theorists present new contributions and reviews addressing longstanding challenges and ongoing progress in spacetime physics. In the anniversary year of Einstein's General Theory of Relativity, developed 100 years ago, this collection reflects the subsequent and continuing fruitful development of spacetime theories.

Top researchers in the field of gravitation present the state-of-the-art topics outlined in this book, ranging from the stability of rotating wormholes solutions supported by ghost scalar fields, modified gravity applied to wormholes, the study of novel semi-classical and nonlinear energy conditions, to the applications of quantum effects and the superluminal version of the warp drive in modified spacetime. Based on Einstein's field equations, this cutting-edge research area explores the more far-fetched theoretical outcomes of General Relativity and relates them to quantum field theory. This includes quantum energy inequalities, flux energy conditions, and wormhole curvature, and sheds light on not just the theoretical physics but also on the possible applications to warp drives and time travel.This book extensively explores the physical properties and characteristics of these 'exotic spacetimes,' describing in detail the general relativistic geometries that generate closed timelike curves.

This book provides the first unified overview of the burgeoning research area at the interface between Quantum Foundations and Quantum Information.  Topics include: operational alternatives to quantum theory, information-theoretic reconstructions of the quantum formalism, mathematical frameworks for operational theories, and device-independent features of the set of quantum correlations.Powered by the injection of fresh ideas from the field of Quantum Information and Computation, the foundations of Quantum Mechanics are in the midst of a renaissance. The last two decades have seen an explosion of new results and research directions, attracting broad interest in the scientific community. The variety and number of different approaches, however, makes it challenging for a newcomer to obtain a big picture of the field and of its high-level goals. Here, fourteen original contributions from leading experts in the field cover some of the most promising research directions that have emerged in the new wave of quantum foundations. The book is directed at researchers in physics, computer science, and mathematics and would be appropriate as the basis of a graduate course in Quantum Foundations.

For the past 20 years causality violations and superluminal motion have been the object of intensive study as physical and geometrical phenomena. How much "exotic matter" would it take to create a time machine or a warp drive? What is the difference between a "discovered" time machine and a created one?

In this book, leading theorists present new contributions and reviews addressing longstanding challenges and ongoing progress in spacetime physics. In the anniversary year of Einstein's General Theory of Relativity, developed 100 years ago, this collection reflects the subsequent and continuing fruitful development of spacetime theories.

The present volume aims to be a comprehensive survey on the derivation of the equations of motion, both in General Relativity as well as in alternative gravity theories.