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Author: Noel Doughty Publisher: CRC Press ISBN: 0429962088 Category : Science Languages : en Pages : 590
Book Description
This book is an introduction to Lagrangian mechanics, starting with Newtonian physics and proceeding to topics such as relativistic Lagrangian fields and Lagrangians in General Relativity, electrodynamics, Gauge theory, and relativistic gravitation. The mathematical notation used is introduced and explained as the book progresses, so it can be understood by students at the undergraduate level in physics or applied mathmatics, yet it is rigorous enough to serve as an introduction to the mathematics and concepts required for courses in relativistic quantum field theory and general relativity.
Author: Noel Doughty Publisher: CRC Press ISBN: 0429962088 Category : Science Languages : en Pages : 590
Book Description
This book is an introduction to Lagrangian mechanics, starting with Newtonian physics and proceeding to topics such as relativistic Lagrangian fields and Lagrangians in General Relativity, electrodynamics, Gauge theory, and relativistic gravitation. The mathematical notation used is introduced and explained as the book progresses, so it can be understood by students at the undergraduate level in physics or applied mathmatics, yet it is rigorous enough to serve as an introduction to the mathematics and concepts required for courses in relativistic quantum field theory and general relativity.
Author: Noel Doughty Publisher: CRC Press ISBN: 0429973160 Category : Science Languages : en Pages : 436
Book Description
This book is an introduction to Lagrangian mechanics, starting with Newtonian physics and proceeding to topics such as relativistic Lagrangian fields and Lagrangians in General Relativity, electrodynamics, Gauge theory, and relativistic gravitation. The mathematical notation used is introduced and explained as the book progresses, so it can be understood by students at the undergraduate level in physics or applied mathmatics, yet it is rigorous enough to serve as an introduction to the mathematics and concepts required for courses in relativistic quantum field theory and general relativity.
Author: M'hamed Souli Publisher: John Wiley & Sons ISBN: 1118618688 Category : Technology & Engineering Languages : en Pages : 189
Book Description
This book provides the fundamental basics for solving fluid structure interaction problems, and describes different algorithms and numerical methods used to solve problems where fluid and structure can be weakly or strongly coupled. These approaches are illustrated with examples arising from industrial or academic applications. Each of these approaches has its own performance and limitations. The added mass technique is described first. Following this, for general coupling problems involving large deformation of the structure, the Navier-Stokes equations need to be solved in a moving mesh using an ALE formulation. The main aspects of the fluid structure coupling are then developed. The first and by far simplest coupling method is explicit partitioned coupling. In order to preserve the flexibility and modularity that are inherent in the partitioned coupling, we also describe the implicit partitioned coupling using an iterative process. In order to reduce computational time for large-scale problems, an introduction to the Proper Orthogonal Decomposition (POD) technique applied to FSI problems is also presented. To extend the application of coupling problems, mathematical descriptions and numerical simulations of multiphase problems using level set techniques for interface tracking are presented and illustrated using specific coupling problems. Given the book's comprehensive coverage, engineers, graduate students and researchers involved in the simulation of practical fluid structure interaction problems will find this book extremely useful.
Author: Taeyoung Lee Publisher: Springer ISBN: 3319569538 Category : Mathematics Languages : en Pages : 561
Book Description
This book provides an accessible introduction to the variational formulation of Lagrangian and Hamiltonian mechanics, with a novel emphasis on global descriptions of the dynamics, which is a significant conceptual departure from more traditional approaches based on the use of local coordinates on the configuration manifold. In particular, we introduce a general methodology for obtaining globally valid equations of motion on configuration manifolds that are Lie groups, homogeneous spaces, and embedded manifolds, thereby avoiding the difficulties associated with coordinate singularities. The material is presented in an approachable fashion by considering concrete configuration manifolds of increasing complexity, which then motivates and naturally leads to the more general formulation that follows. Understanding of the material is enhanced by numerous in-depth examples throughout the book, culminating in non-trivial applications involving multi-body systems. This book is written for a general audience of mathematicians, engineers, and physicists with a basic knowledge of mechanics. Some basic background in differential geometry is helpful, but not essential, as the relevant concepts are introduced in the book, thereby making the material accessible to a broad audience, and suitable for either self-study or as the basis for a graduate course in applied mathematics, engineering, or physics.
Author: M. Sajjad Athar Publisher: Cambridge University Press ISBN: 110896348X Category : Science Languages : en Pages :
Book Description
The study of neutrinos and their interaction with matter has made many important contributions to our present knowledge of physics. This advanced text introduces neutrino physics and presents a theoretical framework for describing relativistic particles. It gives a pedagogical description of the neutrino, its properties, the standard model of electroweak interactions, and neutrino scattering from leptons and nucleons. Focusing on the role of nuclear effects, the discussion extends to various processes of quasielastic, inelastic, and deep inelastic scattering from nucleons and nuclei. Neutrino sources, detection and oscillation, along with the role of neutrinos in astrophysics and motivation for the need of physics beyond the standard model are discussed in detail. This topical book will stimulate new ideas and avenues for research, and will form a valuable resource for advanced students and researchers working in the field of neutrino physics.
Author: Anatoli Babin Publisher: Springer ISBN: 1447172841 Category : Mathematics Languages : en Pages : 687
Book Description
In this monograph, the authors present their recently developed theory of electromagnetic interactions. This neoclassical approach extends the classical electromagnetic theory down to atomic scales and allows the explanation of various non-classical phenomena in the same framework. While the classical Maxwell–Lorentz electromagnetism theory succeeds in describing the physical reality at macroscopic scales, it struggles at atomic scales. Here, quantum mechanics traditionally takes over to describe non-classical phenomena such as the hydrogen spectrum and de Broglie waves. By means of modifying the classical theory, the approach presented here is able to consistently explain quantum-mechanical effects, and while similar to quantum mechanics in some respects, this neoclassical theory also differs markedly from it. In particular, the newly developed framework omits probabilistic interpretations of the wave function and features a new fundamental spatial scale which, at the size of the free electron, is much larger than the classical electron radius and is relevant to plasmonics and emission physics. This book will appeal to researchers interested in advanced aspects of electromagnetic theory. Treating the classical approach in detail, including non-relativistic aspects and the Lagrangian framework, and comparing the neoclassical theory with quantum mechanics and the de Broglie–Bohm theory, this work is completely self-contained.
Author: A Zichichi Publisher: Elsevier ISBN: 0323142893 Category : Science Languages : en Pages : 737
Book Description
Hadrons and Their Interactions: Current and Field Algebra, Soft Pions, Supermultiplets, and Related Topics focuses on formulas, principles, and interactions involved in the study of physics. The compilation contains the papers presented at the ""Ettore Majorana,"" held in Erice on July 1-14, 1967. Divided into three parts with 22 chapters, the compilation focuses first on lectures on soft pions; the method of phenomenological lagrangians and algebra of fields; and radiative corrections to beta decay and the structure of hadrons. The second part focuses on seminars. The areas covered include a review of coherent production in strong interactions; spontaneous breakdown and the weak interaction angle; and the symmetries of the S-matrix. The concluding part also focuses on lectures, including lectures on the present status of the fundamental interactions; a pedagogical exercise in binning and resolution; and the pomeranchuk affair and twisting trajectories. The compilation is a valuable source of data for readers and physicists wanting to explore the interactions of hadrons.
Author: Sow-Hsin Chen Publisher: World Scientific ISBN: 981024214X Category : Science Languages : en Pages : 458
Book Description
This invaluable book is based on lecture notes developed for a one-semester graduate course entitled "Interaction of Radiation with Matter", taught in the Department of Nuclear Engineering at the Massachusetts Institute of Technology. The main objective of the course is to teach enough quantum and classical radiation theory to allow students in engineering and the applied sciences to understand and have access to the vast literature on applications of ionizing and non-ionizing radiation in materials research. Besides presenting the fundamental physics of radiation interactions, the book devotes individual chapters to some of the important modern-day experimental tools, such as nuclear magnetic resonance, photon correlation spectroscopy, and the various types of neutron, x-ray, and light-scattering techniques. This new edition contains added sections on such subjects as synchrotron radiation, neutron spin echo, and diffusive wave spectroscopy. End-of-chapter problems have also been added.
Author: Boris A. Arbuzov Publisher: Walter de Gruyter GmbH & Co KG ISBN: 3110388057 Category : Science Languages : en Pages : 271
Book Description
This monograph is devoted to the nonperturbative dynamics in the Standard Model (SM), the basic theory of allfundamental interactions in nature except gravity. The Standard Model is divided into two parts: the quantum chromodynamics (QCD) and the electro-weak theory (EWT) are well-defined renormalizable theories in which the perturbation theory is valid. However, for the adequate description of the real physics nonperturbative effects are inevitable. This book describes how these nonperturbative effects may be obtained in the framework of spontaneous generation of effective interactions. The well-known example of such effective interaction is provided by the famous Nambu-Jona-Lasinio effective interaction. Also a spontaneous generation of this interaction in the framework of QCD is described and applied to the method for other effective interactions in QCD and EWT. The method is based on N.N. Bogoliubov's conception of compensation equations. As a result we then describe the principal features of the Standard Model, e.g. Higgs sector, and significant nonperturbative effects including recent results obtained at LHC and TEVATRON.
Author: Noel Doughty
Author: Noel Doughty
Author: Noel Doughty
Author: M'hamed Souli
Author: Taeyoung Lee
Author: M. Sajjad Athar
Author: Anatoli Babin
Author: S. M. Bilenky
Author: A Zichichi
Author: Sow-Hsin Chen
Author: Boris A. Arbuzov