# 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:**8908

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:**8853

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. 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.

## 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:**4630

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).

## Lagrangian and Hamiltonian Mechanics

**Author**: Melvin G. Calkin**Publisher:**World Scientific**ISBN:**9789810226725**Category:**Science**Page:**216**View:**5629

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.

## Hadron Physics 96: Topics On The Structure And Interaction Of Hadronic Systems - Proceedings Of The International Workshop

**Author**: Ferreira Erasmo,Baltar Vera Lucia,Borges Jose De Sa**Publisher:**World Scientific**ISBN:**9814546348**Category:****Page:**460**View:**5709

This volume brings together many contributions from leading research scientists, engineers and practitioners in computer science. Selected by program committee members, the topics describe innovative research and new technologies in the following areas of interest: image processing, computer vision and pattern recognition; computational linguistics and natural language processing; artificial intelligence, machine learning and algorithms; software engineering; computer networks and security; and bioinformatics.

## Global Formulations of Lagrangian and Hamiltonian Dynamics on Manifolds

*A Geometric Approach to Modeling and Analysis*

**Author**: Taeyoung Lee,Melvin Leok,N. Harris McClamroch**Publisher:**Springer**ISBN:**3319569538**Category:**Mathematics**Page:**539**View:**348

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.

## 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:**7244

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:**3903

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.

## Quantum Plasmadynamics

**Author**: D. B. Melrose**Publisher:**Springer Science & Business Media**ISBN:**0387739025**Category:**Science**Page:**464**View:**4143

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.

## Wave Phenomena: Modern Theory and Applications

**Author**: C. Rogers,T.B. Moodie**Publisher:**Elsevier**ISBN:**9780080872087**Category:**Science**Page:**458**View:**5007

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.

## Nonlinear Electron-Wave Interaction Phenomena

**Author**: Joseph E. Rowe**Publisher:**Academic Press**ISBN:**1483225208**Category:**Technology & Engineering**Page:**606**View:**7356

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.

## Molecular Quantum Electrodynamics

**Author**: D. P. Craig,T. Thirunamachandran**Publisher:**Courier Corporation**ISBN:**0486135632**Category:**Science**Page:**336**View:**5671

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:**1758

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

## Spin Phenomena in Particle Interactions

**Author**: Serge? Mikha?lovich Troshin**Publisher:**World Scientific**ISBN:**9789810216924**Category:**Science**Page:**211**View:**1877

In recent years, there has been considerable growth in research activities related to spin phenomena in high energy physics and their theoretical interpretations. It has become clear that the spin enigma is not to be considered separately but that it is strongly related to the quark-gluon structure of hadrons and their interaction dynamics.Research on spin phenomena has now attracted a significant following of experimental and theoretical physicists who meet regularly at symposiums on the topic.This book serves as an introduction to the spin puzzles at high energies. Its main focus is on spin effects in hadronic processes and the spin structure of nucleons.The volume will be very useful for graduate students and for those working in the field of polarization physics or interested in the various aspects of strong interaction dynamics. The only book on spin phenomena in high energy physics, it fulfils the great need for an introductory volume in this area of growing interest.

## 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:**3447

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:**9023

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.

## Fields and Fundamental Interactions

**Author**: S.V. Peletminsky**Publisher:**CRC Press**ISBN:**9780415272827**Category:**Science**Page:**592**View:**1335

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.

## Classical Mechanics

*Independent study and phy354 notes and problems*

**Author**: Peeter Joot**Publisher:**Peeter Joot**ISBN:**N.A**Category:**Science**Page:**449**View:**7310

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.

## Basics of Quantum Electrodynamics

**Author**: Ioan Merches,Dorian Tatomir,Roxana E. Lupu**Publisher:**CRC Press**ISBN:**1466580380**Category:**Science**Page:**352**View:**7363

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.

## Electrodynamics and Classical Theory of Fields and Particles

**Author**: A. O. Barut**Publisher:**Courier Corporation**ISBN:**0486158713**Category:**Science**Page:**256**View:**6467

Comprehensive graduate-level text by a distinguished theoretical physicist reveals the classical underpinnings of modern quantum field theory. Topics include space-time, Lorentz transformations, conservation laws, equations of motion, Green’s functions, and more. 1964 edition.