A Modern Approach to Classical Mechanics

Second Edition

Author: Harald Iro

Publisher: World Scientific Publishing Company

ISBN: 9814696307

Category: Science

Page: 528

View: 338

In this book we describe the evolution of Classical Mechanics from Newton's laws via Lagrange's and Hamilton's theories with strong emphasis on integrability versus chaotic behavior. In the second edition of the book we have added historical remarks and references to historical sources important in the evolution of classical mechanics. Request Inspection Copy

A Modern Approach to Quantum Mechanics

Author: John S. Townsend

Publisher: University Science Books

ISBN: 9781891389139

Category: Science

Page: 476

View: 3635

This text allows lecturers to involve their undergraduates in the excitement and insight of Feynman's approach to quantum mechanics while simultaneously giving them a textbook that is well-ordered, logical, and pedagogically sound.

A Radically Modern Approach to Introductory Physics

Author: David J. Raymond

Publisher: Dog Ear Publishing

ISBN: 0983039461

Category: Electromagnetism

Page: 442

View: 7190

This nontraditional text arose from the conviction that science and engineering students would benefit from an introductory course which covers all of physics from a modern point of view. The text takes the perspective of a modern particle physicist and is based more on wave dynamics and relativity than on classical mechanics. The subject matter is split into two volumes of twelve chapters each: Volume 1 - Waves, including geometrical optics - Theory of relativity - Relativistic matter waves and quantum mechanics - Classical mechanics as the geometric optics limit of quantum mechanics Volume 2 - Gravity - A treatment of electromagnetism which builds on relativity - Atomic, nuclear, and particle physics - Statistical mechanics and thermodynamics The result is a conceptually challenging but mathematically simple text which can be covered in two semesters or three quarters without omitting any content. Such a course has been offered for over ten years at New Mexico Tech to incoming physics majors and other interested students who are well prepared in high school physics and mathematics. David J. Raymond received a Ph.D. in high energy physics from Stanford University in 1970. He has taught physics and performed research in atmospheric physics at New Mexico Tech since 1973. The publisher will donate a portion of the price of this book to New Mexico Tech for scholarships.

Classical Mechanics

From Newton to Einstein: A Modern Introduction

Author: Martin W. McCall

Publisher: John Wiley & Sons

ISBN: 1119956129

Category: Science

Page: 250

View: 7294

This new edition of Classical Mechanics, aimed at undergraduate physics and engineering students, presents ina user-friendly style an authoritative approach to the complementary subjects of classical mechanics and relativity. The text starts with a careful look at Newton's Laws, before applying them in one dimension to oscillations and collisions. More advanced applications - including gravitational orbits and rigid body dynamics - are discussed after the limitations of Newton's inertial frames have been highlighted through an exposition of Einstein's Special Relativity. Examples given throughout are often unusual for an elementary text, but are made accessible to the reader through discussion and diagrams. Updates and additions for this new edition include: New vector notation in Chapter 1 An enhanced discussion of equilibria in Chapter 2 A new section on a body falling a large distance towards a gravitational source in Chapter 2 New sections in Chapter 8 on general rotation about a fixed principal axes, simple examples of principal axes and principal moments of inertia and kinetic energy of a body rotating about a fixed axis New sections in chapter 9: Foucault pendulum and free rotation of a rigid body; the latter including the famous tennis racquet theorem Enhanced chapter summaries at the end of each chapter Novel problems with numerical answers A solutions manual is available at: www.wiley.com/go/mccall

Computer Algebra Recipes for Classical Mechanics

Author: Richard H. Enns,George C. McGuire

Publisher: Springer Science & Business Media

ISBN: 146120013X

Category: Mathematics

Page: 265

View: 3209

This is a standalone, but the recipes are correlated with topics found in standard texts, and make use of MAPLE (Release 7). As a reference text, or self-study guide this book is useful for science professionals and engineers.; Good for the classroom correlates with topics found in standard classical mechanics texts.; This book makes use of the powerful computer algebra system MAPLE (Release 7) but no prior knowledge of MAPLE is presumed.; The relevant command structures are explained on a need-to-know basis as the recipes are developed, thus making this a standalone text.

Classical Mechanics with Mathematica®

Author: Antonio Romano

Publisher: Springer Science & Business Media

ISBN: 0817683526

Category: Mathematics

Page: 506

View: 7285

This textbook takes a broad yet thorough approach to mechanics, aimed at bridging the gap between classical analytic and modern differential geometric approaches to the subject.​ Developed by the author from 35 years of teaching experience, the presentation is designed to give students an overview of the many different models used through the history of the field—from Newton to Lagrange—while also painting a clear picture of the most modern developments. Throughout, it makes heavy use of the powerful tools offered by Mathematica​. The volume is organized into two parts. The first focuses on developing the mathematical framework of linear algebra and differential geometry necessary for the remainder of the book. Topics covered include tensor algebra, Euclidean and symplectic vector spaces, differential manifolds, and absolute differential calculus. The second part of the book applies these topics to kinematics, rigid body dynamics, Lagrangian and Hamiltonian dynamics, Hamilton–Jacobi theory, completely integrable systems, statistical mechanics of equilibrium, and impulsive dynamics, among others. Unique in its scope of coverage and method of approach, Classical Mechanics will be a very useful resource for graduate students and advanced undergraduates in applied mathematics and physics who hope to gain a deeper understanding of mechanics.

A Modern Approach to Functional Integration

Author: John R. Klauder

Publisher: Springer Science & Business Media

ISBN: 0817647910

Category: Mathematics

Page: 282

View: 6150

This text takes advantage of recent developments in the theory of path integration and attempts to make a major paradigm shift in how the art of functional integration is practiced. The techniques developed in the work will prove valuable to graduate students and researchers in physics, chemistry, mathematical physics, and applied mathematics who find it necessary to deal with solutions to wave equations, both quantum and beyond. A Modern Approach to Functional Integration offers insight into a number of contemporary research topics, which may lead to improved methods and results that cannot be found elsewhere in the textbook literature. Exercises are included in most chapters, making the book suitable for a one-semester graduate course on functional integration.

A Modern Approach to Critical Phenomena

Author: Igor Herbut

Publisher: Cambridge University Press

ISBN: 1139460129

Category: Science

Page: N.A

View: 5855

Critical phenomena is one of the most exciting areas of modern physics. This 2007 book provides a thorough but economic introduction into the principles and techniques of the theory of critical phenomena and the renormalization group, from the perspective of modern condensed matter physics. Assuming basic knowledge of quantum and statistical mechanics, the book discusses phase transitions in magnets, superfluids, superconductors, and gauge field theories. Particular attention is given to topics such as gauge field fluctuations in superconductors, the Kosterlitz-Thouless transition, duality transformations, and quantum phase transitions - all of which are at the forefront of physics research. This book contains numerous problems of varying degrees of difficulty, with solutions. These problems provide readers with a wealth of material to test their understanding of the subject. It is ideal for graduate students and more experienced researchers in the fields of condensed matter physics, statistical physics, and many-body physics.

Klassische Mechanik

Author: Herbert Goldstein,Charles P. Poole, Jr.,John L. Safko, Sr.

Publisher: John Wiley & Sons

ISBN: 3527662073

Category: Science

Page: 700

View: 761

Der Goldstein gehört zu den Standardwerken für die Vorlesung in Klassischer Mechanik, die Pflichtvorlesung und Teil des Theorie-Lehrplans jedes Physik-Studienganges ist. Für diese aktuelle Ausgabe haben Charles Poole und John Safko die Texte überarbeitet und neueste Themen, Anwendungen und Notationen eingearbeitet und sind damit auf moderne Trends in der Theoretischen Mechanik eingegangen. Neue numerische Übungen verhelfen den Studenten zur Fähigkeit, Computeranwendungen für die Lösung von Physikproblemen zu benutzen. Mathematische Techniken werden detailliert eingeführt, so daß der Text auch für Studenten ohne den entsprechenden Hintergrund der Theoretischen Mechanik verständlich ist.

Classical Mechanics with Applications

Author: Porter Wear Johnson

Publisher: World Scientific Publishing Company

ISBN: 9813107863

Category: Science

Page: 296

View: 3289

This textbook — appropriate for a one-semester course in classical mechanics at the late undergraduate or early graduate level — presents a fresh, modern approach to mechanics. About 150 exercises, covering a wide variety of topics and applications, have solutions roughly outlined for enhanced understanding. Unique to this text is the versatile application of programming language Mathematica™ throughout to analyze systems and generate results. Coverage is also devoted to the topic on one dimensional continuum systems. The extensive discussions on inverse problems of mechanical systems and the detailed analysis of stability of classical systems certainly make this an outstanding textbook.

Geometric Mechanics: Dynamics and symmetry

Author: Darryl D. Holm

Publisher: Imperial College Press

ISBN: 1848161956

Category: Mathematics

Page: 354

View: 4121

Advanced undergraduate and graduate students in mathematics, physics and engineering.

Quantum Mechanics

A Modern Introduction

Author: Ashok Das,Adrian Constantin Melissinos

Publisher: CRC Press

ISBN: 9782881240539

Category: Science

Page: 657

View: 2401

"Quantum Mechanics: A Modern Introduction" differs from ordinary textbooks on the subject in two important ways: first, it introduces quantized systems and emphasizes quantum principles from the start rather than beginning with an analogy to classical laws or a historical approach; second, it contains a large number of practical examples that illustrate the concepts introduced and allow students to apply what they have learned.

Classical Dynamics

A Modern Perspective

Author: E C G Sudarshan,N Mukunda

Publisher: World Scientific Publishing Company

ISBN: 9814713899

Category: Science

Page: 612

View: 8530

Classical dynamics is traditionally treated as an early stage in the development of physics, a stage that has long been superseded by more ambitious theories. Here, in this book, classical dynamics is treated as a subject on its own as well as a research frontier. Incorporating insights gained over the past several decades, the essential principles of classical dynamics are presented, while demonstrating that a number of key results originally considered only in the context of quantum theory and particle physics, have their foundations in classical dynamics. Graduate students in physics and practicing physicists will welcome the present approach to classical dynamics that encompasses systems of particles, free and interacting fields, and coupled systems. Lie groups and Lie algebras are incorporated at a basic level and are used in describing space-time symmetry groups. There is an extensive discussion on constrained systems, Dirac brackets and their geometrical interpretation. The Lie-algebraic description of dynamical systems is discussed in detail, and Poisson brackets are developed as a realization of Lie brackets. Other topics include treatments of classical spin, elementary relativistic systems in the classical context, irreducible realizations of the Galileo and Poincaré groups, and hydrodynamics as a Galilean field theory. Students will also find that this approach that deals with problems of manifest covariance, the no-interaction theorem in Hamiltonian mechanics and the structure of action-at-a-distance theories provides all the essential preparatory groundwork for a passage to quantum field theory. This reprinting of the original text published in 1974 is a testimony to the vitality of the contents that has remained relevant over nearly half a century.

Feynman's Thesis

A New Approach to Quantum Theory

Author: Richard Phillips Feynman,Laurie M. Brown

Publisher: World Scientific

ISBN: 9812563660

Category: Science

Page: 119

View: 1615

Richard Feynman's never previously published doctoral thesis formed the heart of much of his brilliant and profound work in theoretical physics. Entitled ?The Principle of Least Action in Quantum Mechanics," its original motive was to quantize the classical action-at-a-distance electrodynamics. Because that theory adopted an overall space?time viewpoint, the classical Hamiltonian approach used in the conventional formulations of quantum theory could not be used, so Feynman turned to the Lagrangian function and the principle of least action as his points of departure.The result was the path integral approach, which satisfied ? and transcended ? its original motivation, and has enjoyed great success in renormalized quantum field theory, including the derivation of the ubiquitous Feynman diagrams for elementary particles. Path integrals have many other applications, including atomic, molecular, and nuclear scattering, statistical mechanics, quantum liquids and solids, Brownian motion, and noise theory. It also sheds new light on fundamental issues like the interpretation of quantum theory because of its new overall space?time viewpoint.The present volume includes Feynman's Princeton thesis, the related review article ?Space?Time Approach to Non-Relativistic Quantum Mechanics? [Reviews of Modern Physics 20 (1948), 367?387], Paul Dirac's seminal paper ?The Lagrangian in Quantum Mechanics'' [Physikalische Zeitschrift der Sowjetunion, Band 3, Heft 1 (1933)], and an introduction by Laurie M Brown.

Physics of Optoelectronics

Author: Michael A. Parker

Publisher: CRC Press

ISBN: 1420027719

Category: Technology & Engineering

Page: 798

View: 344

Physics of Optoelectronics focuses on the properties of optical fields and their interaction with matter. Understanding that lasers, LEDs, and photodetectors clearly exemplify this interaction, the author begins with an introduction to lasers, LEDs, and the rate equations, then describes the emission and detection processes. The book summarizes and reviews the mathematical background of the quantum theory embodied in the Hilbert space. These concepts highlight the abstract form of the linear algebra for vectors and operators, supplying the "pictures" that make the subject more intuitive. A chapter on dynamics includes a brief review of the formalism for discrete sets of particles and continuous media. It also covers the quantum theory necessary for the study of optical fields, transitions, and semiconductor gain. This volume supplements the description of lasers and LEDs by examining the fundamental nature of the light that these devices produce. It includes an analysis of quantized electromagnetic fields and illustrates inherent quantum noise in terms of Poisson and sub-Poisson statistics. It explains matter-light interaction in terms of time-dependent perturbation theory and Fermi's golden rule, and concludes with a detailed discussion of semiconductor emitters and detectors.

Classical Field Theory

Author: Joel Franklin

Publisher: Cambridge University Press

ISBN: 1108101534

Category: Science

Page: N.A

View: 4822

Classical field theory, which concerns the generation and interaction of fields, is a logical precursor to quantum field theory, and can be used to describe phenomena such as gravity and electromagnetism. Written for advanced undergraduates, and appropriate for graduate level classes, this book provides a comprehensive introduction to field theories, with a focus on their relativistic structural elements. Such structural notions enable a deeper understanding of Maxwell's equations, which lie at the heart of electromagnetism, and can also be applied to modern variants such as Chern–Simons and Born–Infeld. The structure of field theories and their physical predictions are illustrated with compelling examples, making this book perfect as a text in a dedicated field theory course, for self-study, or as a reference for those interested in classical field theory, advanced electromagnetism, or general relativity. Demonstrating a modern approach to model building, this text is also ideal for students of theoretical physics.

Der Wiener Kreis in Ungarn

The Vienna Circle in Hungary

Author: András Máté,Miklós Rédei,Friedrich Stadler

Publisher: Springer-Verlag

ISBN: 3709101778

Category: Philosophy

Page: 304

View: 9615

Der Einfluss des Wiener Kreises zeigt sich bis heute auf allen Gebieten der Philosophie. Mit der erzwungenen Emigration der meisten Mitglieder wurde diese logisch-empiristische Tradition in Mitteleuropa jedoch vorerst unterbrochen. Erst als der logische Empirismus nach dem 2. Weltkrieg in der angelsächsischen Welt zu einer wichtigen Denkrichtung geworden war, wirkte er von dort zurück nach Mitteleuropa. In den Beiträgen analysieren und bewerten namhafte Experten die Auswirkungen des Logischen Empirismus auf die Entwicklung der Philosophie in Ungarn.

Classical Mechanics, Second Edition

Author: Tai L. Chow

Publisher: CRC Press

ISBN: 1466570008

Category: Science

Page: 639

View: 6918

Classical Mechanics, Second Edition presents a complete account of the classical mechanics of particles and systems for physics students at the advanced undergraduate level. The book evolved from a set of lecture notes for a course on the subject taught by the author at California State University, Stanislaus, for many years. It assumes the reader has been exposed to a course in calculus and a calculus-based general physics course. However, no prior knowledge of differential equations is required. Differential equations and new mathematical methods are developed in the text as the occasion demands. The book begins by describing fundamental concepts, such as velocity and acceleration, upon which subsequent chapters build. The second edition has been updated with two new sections added to the chapter on Hamiltonian formulations, and the chapter on collisions and scattering has been rewritten. The book also contains three new chapters covering Newtonian gravity, the Hamilton-Jacobi theory of dynamics, and an introduction to Lagrangian and Hamiltonian formulations for continuous systems and classical fields. To help students develop more familiarity with Lagrangian and Hamiltonian formulations, these essential methods are introduced relatively early in the text. The topics discussed emphasize a modern perspective, with special note given to concepts that were instrumental in the development of modern physics, for example, the relationship between symmetries and the laws of conservation. Applications to other branches of physics are also included wherever possible. The author provides detailed mathematical manipulations, while limiting the inclusion of the more lengthy and tedious ones. Each chapter contains homework problems of varying degrees of difficulty to enhance understanding of the material in the text. This edition also contains four new appendices on D'Alembert's principle and Lagrange's equations, derivation of Hamilton’s principle, Noether’s theorem, and conic sections.

Elektrodynamik

Author: David J. Griffiths

Publisher: Pearson Deutschland GmbH

ISBN: 386894057X

Category: Electrodynamics

Page: 708

View: 7716