# Search Results for "lagrangian-interaction"

## Lagrangian Interaction

*An Introduction To Relativistic Symmetry In Electrodynamics And Gravitation*

**Author**: Noel Doughty**Publisher:**CRC Press**ISBN:**0429973160**Category:**Science**Page:**592**View:**7231

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.

## Arbitrary Lagrangian Eulerian and Fluid-Structure Interaction

*Numerical Simulation*

**Author**: M'hamed Souli,David J. Benson**Publisher:**John Wiley & Sons**ISBN:**1118618688**Category:**Technology & Engineering**Page:**320**View:**8316

This book provides the fundamental basics for solving fluidstructure interaction problems, and describes different algorithmsand numerical methods used to solve problems where fluid andstructure can be weakly or strongly coupled. These approaches areillustrated with examples arising from industrial or academicapplications. Each of these approaches has its own performance andlimitations. Given the book’s comprehensive coverage,engineers, graduate students and researchers involved in thesimulation of practical fluid structure interaction problems willfind this book extremely useful.

## Lagrangian and Hamiltonian Mechanics

**Author**: Melvin G. Calkin**Publisher:**World Scientific**ISBN:**9789810226725**Category:**Science**Page:**216**View:**8082

This book takes the student from the Newtonian mechanics typically taught in the first and the second year to the areas of recent research. The discussion of topics such as invariance, Hamiltonian-Jacobi theory, and action-angle variables is especially complete; the last includes a discussion of the Hannay angle, not found in other texts. The final chapter is an introduction to the dynamics of nonlinear nondissipative systems. Connections with other areas of physics which the student is likely to be studying at the same time, such as electromagnetism and quantum mechanics, are made where possible. There is thus a discussion of electromagnetic field momentum and mechanical?hidden? momentum in the quasi-static interaction of an electric charge and a magnet. This discussion, among other things explains the?(e/c)A? term in the canonical momentum of a charged particle in an electromagnetic field. There is also a brief introduction to path integrals and their connection with Hamilton's principle, and the relation between the Hamilton-Jacobi equation of mechanics, the eikonal equation of optics, and the Schrdinger equation of quantum mechanics.The text contains 115 exercises. This text is suitable for a course in classical mechanics at the advanced undergraduate level.

## Unified Lagrangian Formulation for Fluid and Solid Mechanics, Fluid-Structure Interaction and Coupled Thermal Problems Using the PFEM

**Author**: Alessandro Franci**Publisher:**Springer**ISBN:**3319456628**Category:**Technology & Engineering**Page:**211**View:**4220

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).

## The Standard Model in a Nutshell

**Author**: Dave Goldberg**Publisher:**Princeton University Press**ISBN:**1400885477**Category:**Science**Page:**320**View:**6651

A concise and authoritative introduction to one of the central theories of modern physics For a theory as genuinely elegant as the Standard Model—the current framework describing elementary particles and their forces—it can sometimes appear to students to be little more than a complicated collection of particles and ranked list of interactions. The Standard Model in a Nutshell provides a comprehensive and uncommonly accessible introduction to one of the most important subjects in modern physics, revealing why, despite initial appearances, the entire framework really is as elegant as physicists say. Dave Goldberg uses a "just-in-time" approach to instruction that enables students to gradually develop a deep understanding of the Standard Model even if this is their first exposure to it. He covers everything from relativity, group theory, and relativistic quantum mechanics to the Higgs boson, unification schemes, and physics beyond the Standard Model. The book also looks at new avenues of research that could answer still-unresolved questions and features numerous worked examples, helpful illustrations, and more than 120 exercises. Provides an essential introduction to the Standard Model for graduate students and advanced undergraduates across the physical sciences Requires no more than an undergraduate-level exposure to quantum mechanics, classical mechanics, and electromagnetism Uses a "just-in-time" approach to topics such as group theory, relativity, classical fields, Feynman diagrams, and quantum field theory Couched in a conversational tone to make reading and learning easier Ideal for a one-semester course or independent study Includes a wealth of examples, illustrations, and exercises Solutions manual (available only to professors)

## Elementary Particles and Their Interactions

*Concepts and Phenomena*

**Author**: Quang Ho-Kim,Xuan-Yem Pham**Publisher:**Springer Science & Business Media**ISBN:**9783540636670**Category:**Science**Page:**661**View:**301

Elementary Particles and Their Interactions. Concepts and Phenomena presents a well-written and thorough introduction to this field at the advanced undergraduate and graduate level. Students familiar with quantum mechanics, special relativity and classical electrodynamics will find easy access to modern particle physics and a rich source of illustrative examples, figures, tables, and problems with selected solutions. Further references guide the reader through the literature. This text should become a standard reference to particle physics and will be useful to students and lecturers alike.

## Non-perturbative Effective Interactions in the Standard Model

**Author**: Boris A. Arbuzov**Publisher:**Walter de Gruyter GmbH & Co KG**ISBN:**3110305216**Category:**Science**Page:**235**View:**8793

For an adequate description of real physics nonperturbative effects are inevitable. This book explains how these effects may be obtained in the framework of spontaneous generation of effective interactions. The method is based on N.N. Bogoliubov's conception of compensation equations. As a result, the principal features of the Standard Model and significant nonperturbative effects can be described, including recent results at the LHC & TEVATRON.

## Nonlinear Electron-Wave Interaction Phenomena

**Author**: Joseph E. Rowe**Publisher:**Academic Press**ISBN:**1483225208**Category:**Technology & Engineering**Page:**606**View:**3432

Nonlinear Electron-Wave Interaction Phenomena explores the interaction between drifting streams of charged particles and propagating electromagnetic waves. Of particular concern are the situations in which the wave amplitude is large and there is strong coupling between the charged fluid and the wave. Emphasis is placed on those devices that utilize a defined injected stream of some type. Particle and electromagnetic wave velocities both small and comparable to the velocity of light are considered. Comprised of 16 chapters, this book begins with an introduction to the various classes of devices in which the drifting stream (charged fluid) is composed of electrons and/or ions coupled to a slow electromagnetic wave over an extended region. The discussion then turns to Eulerian versus Lagrangian formulation and radio-frequency equivalent circuits, along with space-charge-field expressions. Subsequent chapters focus on the interaction mechanisms in klystrons, traveling-wave amplifiers, and O-type backward-wave oscillators, as well as crossed-field forward- and backward-wave amplifiers, and traveling-wave energy converters. The book also evaluates multibeam and beam-plasma interactions; phase focusing of electron bunches; pre-bunched electron beams; collector depression techniques; and modulation characteristics. This monograph is designed to serve both as a research monograph for workers in the fields of microwave electron and plasma devices and as a text for advanced graduate students.

## Wave Phenomena: Modern Theory and Applications

**Author**: C. Rogers,T.B. Moodie**Publisher:**Elsevier**ISBN:**9780080872087**Category:**Science**Page:**458**View:**1207

This volume contains 35 of the contributions to the international meeting Wave Phenomena: Modern Theory and Applications, held at the University of Toronto, Canada, at the end of June 1983.

## Molecular Quantum Electrodynamics

**Author**: D. P. Craig,T. Thirunamachandran**Publisher:**Courier Corporation**ISBN:**0486135632**Category:**Science**Page:**336**View:**4524

Self-contained, systematic introduction examines application of quantum electrodynamics to interpretation of optical experiments on atoms and molecules and explains the quantum theory of electromagnetic radiation and its interaction with matter.

## Supersymmetry in Disorder and Chaos

**Author**: Konstantin Efetov**Publisher:**Cambridge University Press**ISBN:**9780521663823**Category:**Science**Page:**441**View:**1875

This book provides a comprehensive treatment of the ideas and applications of supersymmetry.

## Quantum Plasmadynamics

**Author**: D. B. Melrose**Publisher:**Springer Science & Business Media**ISBN:**0387739025**Category:**Science**Page:**464**View:**2878

The idea of synthesizing quantum electrodynamics (QED) and the kinetic theory of plasmas ?rst occurred to me in the early 1970s [1, 2]. The project to do so has been carried out bit by bit over the subsequent years. The name “quantum plasmadynamics” (QPD) is my own jargon [3] for the synthesized theory. Both QED and the kinetic theory of plasmas areconcerned with the int- action between charged particles and the electromagnetic ?eld, but they are radically di?erent in the way the interaction is described. The kinetic theory of plasmas is a collective-medium theory: a plasma is not a collection of - dependent particles in a given electromagnetic ?eld, but a medium in which the particles collectively modify the ?eld, and the ?eld modi?es the par- cles. The charge and current densities associated with the particles are part of a self-consistent ?eld. Conventionally, the kinetic theory of plasmas is a classical theory: the motions of particles are treated using classical dynamics.

## Basics of Quantum Electrodynamics

**Author**: Ioan Merches,Dorian Tatomir,Roxana E. Lupu**Publisher:**CRC Press**ISBN:**1466580380**Category:**Science**Page:**352**View:**7242

Quantum electrodynamics (QED) is the branch of relativistic quantum field theory that deals specifically with the interactions between charged particles. It is widely used to solve problems in many areas of physics, such as elementary particles, atomic and molecular systems, and solid state physics. This accessible text, Basics of Quantum Electrodynamics, supplies a solid foundation in this dynamic area of physics, making a direct connection to the concepts of quantum mechanics familiar to the advanced undergraduate student. Chapters cover the general theory of free fields and the quantization of the scalar, electromagnetic, and spinorial fields, which prepares readers for understanding field interactions. The authors describe the general theory of field interactions, introducing the scattering matrix and the Feynman–Dyson graphs. They then discuss divergence-free second-order processes, such as Compton and Møller scattering, followed by divergent second-order processes, which cover vacuum polarization and mass and charge renormalization. Providing a modern, informative textbook, this volume illustrates the intimate connection between quantum mechanics and QED in two basic steps: the quantization of free fields, followed by the theory of their interactions. The text contains solved problems to facilitate the application of the theory, as well as a useful appendix on the theory of distributions. The step-by-step description of the quantization of various fields and the clear presentation of the most important interaction processes in QED make this textbook a useful guide for those studying physics at both the graduate and undergraduate level, as well as a reference for teachers and researchers in the field.

## Quantum Field Theory

**Author**: Lewis H. Ryder**Publisher:**Cambridge University Press**ISBN:**9780521478144**Category:**Science**Page:**487**View:**9777

This book is a modern introduction to the ideas and techniques of quantum field theory. After a brief overview of particle physics and a survey of relativistic wave equations and Lagrangian methods, the author develops the quantum theory of scalar and spinor fields, and then of gauge fields. The emphasis throughout is on functional methods, which have played a large part in modern field theory. The book concludes with a brief survey of "topological" objects in field theory and, new to this edition, a chapter devoted to supersymmetry. Graduate students in particle physics and high energy physics will benefit from this book.

## Classical Mechanics

*Independent study and phy354 notes and problems*

**Author**: Peeter Joot**Publisher:**Peeter Joot**ISBN:**N.A**Category:**Science**Page:**449**View:**5207

This is a collection of notes on classical mechanics, and contains a few things • A collection of miscellaneous notes and problems for my personal (independent) classical mechanics studies. A fair amount of those notes were originally in my collection of Geometric (Clifford) Algebra related material so may assume some knowledge of that subject. • My notes for some of the PHY354 lectures I attended. That class was taught by Prof. Erich Poppitz. I audited some of the Wednesday lectures since the timing was convenient. I took occasional notes, did the first problem set, and a subset of problem set 2. These notes, when I took them, likely track along with the Professor’s hand written notes very closely, since his lectures follow his notes very closely. • Some assigned problems from the PHY354 course, ungraded (not submitted since I did not actually take the course). I ended up only doing the first problem set and two problems from the second problem set. • Miscellaneous worked problems from other sources.

## Isogeometric Analysis

*Toward Integration of CAD and FEA*

**Author**: J. Austin Cottrell,Thomas J. R Hughes,Yuri Bazilevs**Publisher:**John Wiley & Sons**ISBN:**0470749091**Category:**Technology & Engineering**Page:**352**View:**8923

“The authors are the originators of isogeometric analysis, are excellent scientists and good educators. It is very original. There is no other book on this topic.” —René de Borst, Eindhoven University of Technology Written by leading experts in the field and featuring fully integrated colour throughout, Isogeometric Analysis provides a groundbreaking solution for the integration of CAD and FEA technologies. Tom Hughes and his researchers, Austin Cottrell and Yuri Bazilevs, present their pioneering isogeometric approach, which aims to integrate the two techniques of CAD and FEA using precise NURBS geometry in the FEA application. This technology offers the potential to revolutionise automobile, ship and airplane design and analysis by allowing models to be designed, tested and adjusted in one integrative stage. Providing a systematic approach to the topic, the authors begin with a tutorial introducing the foundations of Isogeometric Analysis, before advancing to a comprehensive coverage of the most recent developments in the technique. The authors offer a clear explanation as to how to add isogeometric capabilities to existing finite element computer programs, demonstrating how to implement and use the technology. Detailed programming examples and datasets are included to impart a thorough knowledge and understanding of the material. Provides examples of different applications, showing the reader how to implement isogeometric models Addresses readers on both sides of the CAD/FEA divide Describes Non-Uniform Rational B-Splines (NURBS) basis functions

## An Introduction to Relativistic Processes and the Standard Model of Electroweak Interactions

**Author**: Carlo M. Becchi,Giovanni Ridolfi**Publisher:**Springer**ISBN:**3319061305**Category:**Science**Page:**198**View:**6815

This book offers a self-contained introduction to the theory of electroweak interactions based on the semi-classical approach to relativistic quantum field theory, with thorough discussion of key aspects of the field. The basic tools for the calculation of cross sections and decay rates in the context of relativistic quantum field theory are reviewed in a short, but complete and rigorous, presentation. Special attention is focused on relativistic scattering theory and on calculation of amplitude in the semi-classical approximation. The central part of the book is devoted to an illustration of the unified field theory of electromagnetic and weak interactions as a quantum field theory with spontaneously broken gauge invariance; particular emphasis is placed on experimental confirmations of the theory. The closing chapters address the most recent developments in electroweak phenomenology and provide an introduction to the theory and phenomenology of neutrino oscillations. In this 2nd edition the discussion of relativistic scattering processes in the semi-classical approximation has been revised and as a result intermediate results are now explicitly proven. Furthermore, the recent discovery of the Higgs boson is now taken into account throughout the book. In particular, the Higgs decay channel into a pair of photons, which has played a crucial role in the discovery, is discussed. As in the first edition, the accent is still on the semi-classical approximation. However, in view of the necessity of a discussion of H !, the authors give several indications about corrections to the semiclassical approximation. Violation of unitarity is discussed in more detail, including the dispersion relations as a tool for computing loop corrections; the above-mentioned Higgs decay channel is illustrated by means of a full one-loop calculation; and finally, loop effects on the production of unstable particles (such as the Z0 boson) are now discussed. Finally, the neutrino mass and oscillation analysis is updated taking into account the major achievements of the last years.

## Interaction of Photons and Neutrons with Matter

*An Introduction*

**Author**: Sow-Hsin Chen,Michael Kotlarchyk**Publisher:**World Scientific**ISBN:**9789810220266**Category:**Science**Page:**400**View:**2942

This book is based on lecture notes developed for a one-semester graduate course entitled The 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.

## The Quark Confinement Model of Hadrons

**Author**: G.V Efimov,M.A Ivanov**Publisher:**CRC Press**ISBN:**9780750302401**Category:**Science**Page:**188**View:**345

Filling the gap in the literature on low-energy quark models, The Quark Confinement Model of Hadrons investigates confinement effects in the low-energy regions of particle physics using the methods of nonlocal quantum field theory. It also elucidates their role in describing microscopic quantities that characterize hadron-hadron interactions. The authors present a quark confinement model to describe the low-energy physics of light hadrons. Hadrons are treated as collective colorless excitations of quark-gluon interactions while the quark confinement is to be provided by averaging over gluon backgrounds. The model is shown to reproduce the low-energy relations of chiral theory in the case of null momenta and, in addition, allow the researcher to obtain more sophisticated hadron characteristics, such as slope parameters and form factors. Presenting a unified view on a number of low-energy phenomena, The Quark Confinement Model of Hadrons enables an understanding of problems related to the treatment of large distances within quantum chromodynamics.