Author: Noel Doughty
Publisher: CRC Press
ISBN: 0429962088
Category : Science
Languages : en
Pages : 590
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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
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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
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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
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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: S. M. Bilenky
Publisher: Atlantica Séguier Frontières
ISBN: 9782863321447
Category : Electroweak interactions
Languages : en
Pages : 386
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Book Description
Author: S. M. Bilenky
Publisher: Elsevier
ISBN: 148315369X
Category : Science
Languages : en
Pages : 289
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Book Description
Introduction to the Physics of Electroweak Interactions is a six-chapter book that first elucidates the deep-inelastic and elastic lepton scattering on nucleons (both cases of polarized and nonpolarized initial particles). Subsequent chapter presents a brief history of the construction of the phenomenological V-A weak interaction Hamiltonian. Other chapters detail the Glashow-Weinberg-Salam unified theory of weak and electromagnetic interactions; the processes in which neutrinos take part; and processes due to neutral currents, deep-inelastic neutrino-nucleon scattering, elastic neutrino-nucleon scattering, and elastic neutrino-electron scattering. This book will be useful to those who wish to master the techniques for calculating the experimentally measured quantities.
Author: S.V. Peletminsky
Publisher: CRC Press
ISBN: 9780415272827
Category : Science
Languages : en
Pages : 594
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Book Description
The author presents the general methods of quantization of physical fields including Bose, Fermi, and gauge fields, and the methods for eliminating divergences arising in the modern theory of interacting fields are discussed in detail. The concept of quarks and gluons is used as a basis for formulating quantum chromodynamics, which represents a theory of the strong interactions of hadrons. The theory of electroweak interaction generalizes Fermi's theory of beta decay and unifies the theories of weak and electromagnetic interactions, and both Einstein's theory of gravitation and the theory of superfields are developed in terms of non-Abelian gauge fields. Fields and Fundamental Interactions is an indispensable reference for graduates and researchers in the fields of quantum theory, quantum electrodynamics and elementary particle physics.
Author: Alessandro Franci
Publisher: Springer
ISBN: 3319456628
Category : Science
Languages : en
Pages : 224
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Book Description
This book treats the derivation and implementation of a unified particle finite element formulation for the solution of fluid and solid mechanics, Fluid-Structure Interaction (FSI) and coupled thermal problems. FSI problems are involved in many engineering branches, from aeronautics to civil and biomedical engineering. The numerical method proposed in this book has been designed to deal with a large part of these. In particular, it is capable of simulating accurately free-surface fluids interacting with structures that may undergo large displacements, suffer from thermo-plastic deformations and even melt. The method accuracy has been successfully verified in several numerical examples. The thesis also contains the application of the proposed numerical strategy for the simulation of a real industrial problem. This thesis, defended at the Universitat Politecnica de Catalunya in 2015, was selected (ex aequo) as the best PhD thesis in numerical methods in Spain for the year 2015 by the Spanish Society of Numerical Methods in Engineering (SEMNI).
Author: A Zichichi
Publisher: Elsevier
ISBN: 0323142893
Category : Science
Languages : en
Pages : 737
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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: Stephen P. Martin
Publisher: Springer Nature
ISBN: 303114368X
Category : Science
Languages : en
Pages : 362
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Book Description
The Standard Model of elementary particle physics was tentatively outlined in the early 1970s. The concepts of quarks, leptons, neutrinos, gauge symmetries, chiral interactions, Higgs boson, strong force, weak force, and electromagnetism were all put together to form a unifying theory of elementary particles. Furthermore, the model was developed within the context of relativistic quantum field theory, making it compatible with all of the laws of Einstein's Special Relativity. The successes of the Standard Model over the years have been tremendous and enduring, leading up to the recent discovery and continuing study of the Higgs boson. This book is a comprehensive and technical introduction to Standard Model physics. Martin and Wells provide readers who have no prior knowledge of quantum field theory or particle physics a firm foundation into the fundamentals of both. The emphasis is on obtaining practical knowledge of how to calculate cross-sections and decay rates. There is no better way to understand the necessary abstract knowledge and solidify its meaning than to learn how to apply it to the computation of observables that can be measured in a laboratory. Beginning graduate students, both experimental and theoretical, and advanced undergraduate students interested in particle physics, will find this to be an ideal one-semester textbook to begin their technical learning of elementary particle physics.
