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Classical And Relativistic Mechanics
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Book Synopsis Classical and Relativistic Mechanics by : David Agmon
Download or read book Classical and Relativistic Mechanics written by David Agmon and published by World Scientific Publishing Company. This book was released on 2009 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a calculus-based perspective on classical mechanics and the theory of relativity. Unlike most conventional textbooks, the discussion on theory is pared down to a minimum in favor of detailed, guided solutions of problems illustrating salient points, subtleties and principles. By working through the 900 carefully selected problems, the serious learner will hence be stimulated, challenged and enlightened. Great emphasis is placed on the pedagogical value of solving problems in a number of ways, on the careful and detailed analysis of problems, on dimensional considerations, and on basic principles underlying every topic treated. The book is aimed at first-year undergraduate students in physics and engineering. Advanced Placement students in high schools will also find this book rewarding and challenging. Instructors too will be able to recharge their batteries and refresh their reservoir of problems for recitation classes, or delve into it for their own amusement and edification.
Book Synopsis The Mathematical Structure of Classical and Relativistic Physics by : Enzo Tonti
Download or read book The Mathematical Structure of Classical and Relativistic Physics written by Enzo Tonti and published by Springer Science & Business Media. This book was released on 2013-09-07 with total page 537 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theories describing seemingly unrelated areas of physics have surprising analogies that have aroused the curiosity of scientists and motivated efforts to identify reasons for their existence. Comparative study of physical theories has revealed the presence of a common topological and geometric structure. The Mathematical Structure of Classical and Relativistic Physics is the first book to analyze this structure in depth, thereby exposing the relationship between (a) global physical variables and (b) space and time elements such as points, lines, surfaces, instants, and intervals. Combining this relationship with the inner and outer orientation of space and time allows one to construct a classification diagram for variables, equations, and other theoretical characteristics. The book is divided into three parts. The first introduces the framework for the above-mentioned classification, methodically developing a geometric and topological formulation applicable to all physical laws and properties; the second applies this formulation to a detailed study of particle dynamics, electromagnetism, deformable solids, fluid dynamics, heat conduction, and gravitation. The third part further analyses the general structure of the classification diagram for variables and equations of physical theories. Suitable for a diverse audience of physicists, engineers, and mathematicians, The Mathematical Structure of Classical and Relativistic Physics offers a valuable resource for studying the physical world. Written at a level accessible to graduate and advanced undergraduate students in mathematical physics, the book can be used as a research monograph across various areas of physics, engineering and mathematics, and as a supplemental text for a broad range of upper-level scientific coursework.
Book Synopsis Introduction To Relativistic Statistical Mechanics: Classical And Quantum by : Remi Joel Hakim
Download or read book Introduction To Relativistic Statistical Mechanics: Classical And Quantum written by Remi Joel Hakim and published by World Scientific. This book was released on 2011-03-28 with total page 567 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is one of the very few books focusing on relativistic statistical mechanics, and is written by a leading expert in this special field. It started from the notion of relativistic kinetic theory, half a century ago, exploding into relativistic statistical mechanics. This will interest specialists of various fields, especially the (classical and quantum) plasma physics. However, quantum physics — to which a major part is devoted — will be of more interest since, not only it applies to quantum plasma physics, but also to nuclear matter and to strong magnetic field, cosmology, etc. Although the domain of gauge theory is not covered in this book, the topic is not completely forgotten, in particular in the domain of plasma physics. This book is particularly readable for graduate students and a fortiori to young researchers for whom it offers methods and also appropriate schemes to deal with the current problems encountered in astrophysics, in strong magnetic, in nuclear or even in high energy physics.
Book Synopsis Variational Principles in Classical Mechanics by : Douglas Cline
Download or read book Variational Principles in Classical Mechanics written by Douglas Cline and published by . This book was released on 2018-08 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Two dramatically different philosophical approaches to classical mechanics were proposed during the 17th - 18th centuries. Newton developed his vectorial formulation that uses time-dependent differential equations of motion to relate vector observables like force and rate of change of momentum. Euler, Lagrange, Hamilton, and Jacobi, developed powerful alternative variational formulations based on the assumption that nature follows the principle of least action. These variational formulations now play a pivotal role in science and engineering.This book introduces variational principles and their application to classical mechanics. The relative merits of the intuitive Newtonian vectorial formulation, and the more powerful variational formulations are compared. Applications to a wide variety of topics illustrate the intellectual beauty, remarkable power, and broad scope provided by use of variational principles in physics.The second edition adds discussion of the use of variational principles applied to the following topics:(1) Systems subject to initial boundary conditions(2) The hierarchy of related formulations based on action, Lagrangian, Hamiltonian, and equations of motion, to systems that involve symmetries.(3) Non-conservative systems.(4) Variable-mass systems.(5) The General Theory of Relativity.Douglas Cline is a Professor of Physics in the Department of Physics and Astronomy, University of Rochester, Rochester, New York.
Book Synopsis Classical Relativistic Many-Body Dynamics by : M.A. Trump
Download or read book Classical Relativistic Many-Body Dynamics written by M.A. Trump and published by Springer Science & Business Media. This book was released on 1999-07-31 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: in this work, we must therefore assume several abstract concepts that hardly need defending at this point in the history of mechanics. Most notably, these include the concept of the point particle and the concept of the inertial observer. The study of the relativistic particle system is undertaken here by means of a particular classical theory, which also exists on the quantum level, and which is especially suited to the many-body system in flat spacetime. In its fundamental postulates, the theory may be consid ered to be primarily the work of E.C.G. Stiickelberg in the 1940's, and of L.P. Horwitz and C. Piron in the 1970's, who may be said to have provided the generalization of Stiickelberg's theory to the many-body system. The references for these works may be found in Chapter 1. The theory itself may be legitimately called off-shell Hamiltonian dynamics, parameterized relativistic mechanics, or even classical event dynamics. The most important feature of the theory is probably the use of an invariant world time parameter, usually denoted T, which provides an evolution time for the system in such as way as to allow manifest co variance within a Hamiltonian formalism. In general, this parameter is neither a Lorentz-frame time, nor the proper time of the particles in the system.
Author :Harald J W Muller-kirsten Publisher :World Scientific Publishing Company ISBN 13 :9813101261 Total Pages :575 pages Book Rating :4.8/5 (131 download)
Book Synopsis Classical Mechanics And Relativity by : Harald J W Muller-kirsten
Download or read book Classical Mechanics And Relativity written by Harald J W Muller-kirsten and published by World Scientific Publishing Company. This book was released on 2008-08-21 with total page 575 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text provides a pedagogical tour through mechanics from Newton to Einstein with detailed explanations and a large number of worked examples. From the very beginning relativity is kept in mind, along with its relation to concepts of basic mechanics, such as inertia, escape velocity, Newton's potential, Kepler motion and curvature. The Lagrange and Hamilton formalisms are treated in detail, and extensive applications to central forces and rigid bodies are presented. After consideration of the motivation of relativity, the essential tensor calculus is developed, and thereafter Einstein's equation is solved for special cases with explicit presentation of calculational steps. The combined treatment of classical mechanics and relativity thus enables the reader to see the connection between Newton's gravitational potential, Kepler motion and Einstein's corrections, as well as diverse aspects of mechanics. The text addresses students and others pursuing a course in classical mechanics, as well as those interested in a detailed course on relativity.
Book Synopsis Classical Mechanics by : Walter Greiner
Download or read book Classical Mechanics written by Walter Greiner and published by Springer Science & Business Media. This book was released on 2006-04-18 with total page 503 pages. Available in PDF, EPUB and Kindle. Book excerpt: Intended for advanced undergraduates and beginning graduate students, this text is based on the highly successful course given by Walter Greiner at the University of Frankfurt, Germany. The two volumes on classical mechanics provide not only a complete survey of the topic but also an enormous number of worked examples and problems to show students clearly how to apply the abstract principles to realistic problems.
Book Synopsis Conceptual Evolution of Newtonian and Relativistic Mechanics by : Amitabha Ghosh
Download or read book Conceptual Evolution of Newtonian and Relativistic Mechanics written by Amitabha Ghosh and published by Springer. This book was released on 2017-10-30 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to Newtonian and relativistic mechanics. Unlike other books on the topic, which generally take a 'top-down' approach, it follows a novel system to show how the concepts of the 'science of motion' evolved through a veritable jungle of intermediate ideas and concepts. Starting with Aristotelian philosophy, the text gradually unravels how the human mind slowly progressed towards the fundamental ideas of inertia physics. The concepts that now appear so obvious to even a high school student took great intellectuals more than a millennium to clarify. The book explores the evolution of these concepts through the history of science. After a comprehensive overview of the discovery of dynamics, it explores fundamental issues of the properties of space and time and their relation with the laws of motion. It also explores the concepts of spatio-temporal locality and fields, and offers a philosophical discussion of relative motion versus absolute motion, as well as the concept of an absolute space. Furthermore, it presents Galilean transformation and the principle of relativity, inadequacy of Galilean relativity and emergence of the spatial theory of relativity with an emphasis on physical understanding, as well as the debate over relative motion versus absolute motion and Mach's principle followed by the principle of equivalence. The natural follow-on to this section is the physical foundations of general theory of relativity. Lastly, the book ends with some new issues and possibilities regarding further modifications of the laws of motion leading to the solution of a number of fundamental issues closely connected with the characteristics of the cosmos. It is a valuable resource for undergraduate students of physics, engineering, mathematics, and related disciplines. It is also suitable for interdisciplinary coursework and introductory reading outside the classroom.
Book Synopsis Classical Mechanics by : Alexei Deriglazov
Download or read book Classical Mechanics written by Alexei Deriglazov and published by Springer Science & Business Media. This book was released on 2010-08-28 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: Formalism of classical mechanics underlies a number of powerful mathematical methods that are widely used in theoretical and mathematical physics. This book considers the basics facts of Lagrangian and Hamiltonian mechanics, as well as related topics, such as canonical transformations, integral invariants, potential motion in geometric setting, symmetries, the Noether theorem and systems with constraints. While in some cases the formalism is developed beyond the traditional level adopted in the standard textbooks on classical mechanics, only elementary mathematical methods are used in the exposition of the material. The mathematical constructions involved are explicitly described and explained, so the book can be a good starting point for the undergraduate student new to this field. At the same time and where possible, intuitive motivations are replaced by explicit proofs and direct computations, preserving the level of rigor that makes the book useful for the graduate students intending to work in one of the branches of the vast field of theoretical physics. To illustrate how classical-mechanics formalism works in other branches of theoretical physics, examples related to electrodynamics, as well as to relativistic and quantum mechanics, are included.
Book Synopsis Relativistic Many-Body Theory and Statistical Mechanics by : Lawrence P. Horwitz
Download or read book Relativistic Many-Body Theory and Statistical Mechanics written by Lawrence P. Horwitz and published by Morgan & Claypool Publishers. This book was released on 2018-05-31 with total page 145 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1941, E.C.G. Stueckelberg wrote a paper, based on ideas of V. Fock, that established the foundations of a theory that could covariantly describe the classical and quantum relativistic mechanics of a single particle. Horwitz and Piron extended the applicability of this theory in 1973 (to be called the SHP theory) to the many-body problem. It is the purpose of this book to explain this development and provide examples of its applications. We first review the basic ideas of the SHP theory, both classical and quantum, and develop the appropriate form of electromagnetism on this dynamics. After studying the two body problem classically and quantum mechanically, we formulate the N-body problem. We then develop the general quantum scattering theory for the N-body problem and prove a quantum mechanical relativistically covariant form of the Gell-Mann-Low theorem. The quantum theory of relativistic spin is then developed, including spin-statistics, providing the necessary apparatus for Clebsch-Gordan additivity, and we then discuss the phenomenon of entanglement at unequal times. In the second part, we develop relativistic statistical mechanics, including a mechanism for stability of the off-shell mass, and a high temperature phase transition to the mass shell. Finally, some applications are given, such as the explanation of the Lindneret alexperiment, the proposed experiment of Palacios et al which should demonstrate relativistic entanglement (at unequal times), the space-time lattice, low energy nuclear reactions and applications to black hole physics.
Book Synopsis Geometric Formulation of Classical and Quantum Mechanics by : G. Giachetta
Download or read book Geometric Formulation of Classical and Quantum Mechanics written by G. Giachetta and published by World Scientific. This book was released on 2011 with total page 405 pages. Available in PDF, EPUB and Kindle. Book excerpt: The geometric formulation of autonomous Hamiltonian mechanics in the terms of symplectic and Poisson manifolds is generally accepted. This book provides the geometric formulation of non-autonomous mechanics in a general setting of time-dependent coordinate and reference frame transformations.
Book Synopsis Advanced Mechanics and General Relativity by : Joel Franklin
Download or read book Advanced Mechanics and General Relativity written by Joel Franklin and published by Cambridge University Press. This book was released on 2010-07-08 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Aimed at advanced undergraduates with background knowledge of classical mechanics and electricity and magnetism, this textbook presents both the particle dynamics relevant to general relativity, and the field dynamics necessary to understand the theory. Focusing on action extremization, the book develops the structure and predictions of general relativity by analogy with familiar physical systems. Topics ranging from classical field theory to minimal surfaces and relativistic strings are covered in a homogeneous manner. Nearly 150 exercises and numerous examples throughout the textbook enable students to test their understanding of the material covered. A tensor manipulation package to help students overcome the computational challenge associated with general relativity is available on a site hosted by the author. A link to this and to a solutions manual can be found at www.cambridge.org/9780521762458.
Book Synopsis Classical Dynamics by : Jorge V. José
Download or read book Classical Dynamics written by Jorge V. José and published by Cambridge University Press. This book was released on 1998-08-13 with total page 702 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive graduate-level textbook on classical dynamics with many worked examples and over 200 homework exercises, first published in 1998.
Book Synopsis Classical Mechanics by : Martin W. McCall
Download or read book Classical Mechanics written by Martin W. McCall and published by John Wiley & Sons. This book was released on 2010-10-11 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Book Synopsis Classical Dynamics of Particles and Systems by : Jerry B. Marion
Download or read book Classical Dynamics of Particles and Systems written by Jerry B. Marion and published by Academic Press. This book was released on 2013-10-22 with total page 593 pages. Available in PDF, EPUB and Kindle. Book excerpt: Classical Dynamics of Particles and Systems presents a modern and reasonably complete account of the classical mechanics of particles, systems of particles, and rigid bodies for physics students at the advanced undergraduate level. The book aims to present a modern treatment of classical mechanical systems in such a way that the transition to the quantum theory of physics can be made with the least possible difficulty; to acquaint the student with new mathematical techniques and provide sufficient practice in solving problems; and to impart to the student some degree of sophistication in handling both the formalism of the theory and the operational technique of problem solving. Vector methods are developed in the first two chapters and are used throughout the book. Other chapters cover the fundamentals of Newtonian mechanics, the special theory of relativity, gravitational attraction and potentials, oscillatory motion, Lagrangian and Hamiltonian dynamics, central-force motion, two-particle collisions, and the wave equation.
Author :Francisco J. Yndurain Publisher :Springer Science & Business Media ISBN 13 :3642610579 Total Pages :342 pages Book Rating :4.6/5 (426 download)
Book Synopsis Relativistic Quantum Mechanics and Introduction to Field Theory by : Francisco J. Yndurain
Download or read book Relativistic Quantum Mechanics and Introduction to Field Theory written by Francisco J. Yndurain and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: This advanced textbook supplies graduate students with a primer in quantum theory. A variety of processes are discussed with concepts such as potentials, classical current distributions, prescribed external fields dealt with in the framework of relativistic quantum mechanics. Then, in an introduction to field theory, the author emphasizes the deduction of the said potentials or currents. A modern presentation of the subject together with many exercises, unique in its unusual underlying concept of combining relativistic quantum mechanics with basic quantum field theory.
Book Synopsis Special Relativity and Classical Field Theory by : Leonard Susskind
Download or read book Special Relativity and Classical Field Theory written by Leonard Susskind and published by Basic Books. This book was released on 2017-09-26 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: The third volume in the bestselling physics series cracks open Einstein's special relativity and field theory Physicist Leonard Susskind and data engineer Art Friedman are back. This time, they introduce readers to Einstein's special relativity and Maxwell's classical field theory. Using their typical brand of real math, enlightening drawings, and humor, Susskind and Friedman walk us through the complexities of waves, forces, and particles by exploring special relativity and electromagnetism. It's a must-read for both devotees of the series and any armchair physicist who wants to improve their knowledge of physics' deepest truths.
