Lagrangian Formalism and Symmetry Laws
Author | : Michel Gourdin |
Publisher | : |
Total Pages | : 120 |
Release | : 1969 |
Genre | : Science |
ISBN | : |
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Exercises after each chapter.
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Author | : Michel Gourdin |
Publisher | : |
Total Pages | : 120 |
Release | : 1969 |
Genre | : Science |
ISBN | : |
Exercises after each chapter.
Author | : M. Boleanţu |
Publisher | : |
Total Pages | : 34 |
Release | : 1998 |
Genre | : Differentiable dynamical systems |
ISBN | : |
Author | : John Dirk Walecka |
Publisher | : World Scientific |
Total Pages | : 184 |
Release | : 2020-02-26 |
Genre | : Science |
ISBN | : 9811217459 |
This textbook aims to provide a clear and concise set of lectures that take one from the introduction and application of Newton's laws up to Hamilton's principle of stationary action and the lagrangian mechanics of continuous systems. An extensive set of accessible problems enhances and extends the coverage.It serves as a prequel to the author's recently published book entitled Introduction to Electricity and Magnetism based on an introductory course taught sometime ago at Stanford with over 400 students enrolled. Both lectures assume a good, concurrent, course in calculus and familiarity with basic concepts in physics; the development is otherwise self-contained.A good introduction to the subject allows one to approach the many more intermediate and advanced texts with better understanding and a deeper sense of appreciation that both students and teachers alike can share.
Author | : Noel Doughty |
Publisher | : CRC Press |
Total Pages | : 436 |
Release | : 2018-03-08 |
Genre | : Science |
ISBN | : 0429973160 |
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 | : Patrick Hamill |
Publisher | : Cambridge University Press |
Total Pages | : 185 |
Release | : 2014 |
Genre | : Mathematics |
ISBN | : 1107042887 |
A concise treatment of variational techniques, focussing on Lagrangian and Hamiltonian systems, ideal for physics, engineering and mathematics students.
Author | : Jakob Schwichtenberg |
Publisher | : Springer |
Total Pages | : 294 |
Release | : 2017-12-01 |
Genre | : Science |
ISBN | : 3319666312 |
This is a textbook that derives the fundamental theories of physics from symmetry. It starts by introducing, in a completely self-contained way, all mathematical tools needed to use symmetry ideas in physics. Thereafter, these tools are put into action and by using symmetry constraints, the fundamental equations of Quantum Mechanics, Quantum Field Theory, Electromagnetism, and Classical Mechanics are derived. As a result, the reader is able to understand the basic assumptions behind, and the connections between the modern theories of physics. The book concludes with first applications of the previously derived equations. Thanks to the input of readers from around the world, this second edition has been purged of typographical errors and also contains several revised sections with improved explanations.
Author | : Alain Jean Brizard |
Publisher | : World Scientific |
Total Pages | : 276 |
Release | : 2008 |
Genre | : Science |
ISBN | : 9812818367 |
An Introduction to Lagrangian Mechanics begins with a proper historical perspective on the Lagrangian method by presenting Fermat's Principle of Least Time (as an introduction to the Calculus of Variations) as well as the principles of Maupertuis, Jacobi, and d'Alembert that preceded Hamilton's formulation of the Principle of Least Action, from which the Euler?Lagrange equations of motion are derived. Other additional topics not traditionally presented in undergraduate textbooks include the treatment of constraint forces in Lagrangian Mechanics; Routh's procedure for Lagrangian systems with symmetries; the art of numerical analysis for physical systems; variational formulations for several continuous Lagrangian systems; an introduction to elliptic functions with applications in Classical Mechanics; and Noncanonical Hamiltonian Mechanics and perturbation theory.This textbook is suitable for undergraduate students who have acquired the mathematical skills needed to complete a course in Modern Physics.
Author | : Torsten Fliessbach |
Publisher | : World Scientific |
Total Pages | : 501 |
Release | : 2024-05-24 |
Genre | : Science |
ISBN | : 9811284598 |
This textbook introduces the field of mechanics, commonly offered at universities in Germany as part of structured courses in theoretical physics.Within the framework of elementary Newtonian mechanics, the basic concepts — such as trajectory curves, mass point, equations of motion, reference frames — are introduced. The focus is placed on the Lagrangian formalism (Lagrangian equations of the first and second kind, Hamilton's principle, conservation laws, Noether's theorem, etc.) and its most important applications (e.g.: motion in a central potential, dynamics of a rigid body and harmonic oscillations). The Hamilton formalism is then introduced in a compact way and continuum mechanics is presented through illustrative examples, such as string vibrations, beam bending, elementary hydrodynamics, sound waves, and more. The book also deals in detail with special relativity (principle of relativity by Einstein, length contraction, time dilation, relativistic equation of motion, production of heavy particles, twin paradox, etc.), and is supplemented with an appendix that examines the relation between the Newtonian force and the Minkowksi force.
Author | : Heinz-dietrich Doebner |
Publisher | : World Scientific |
Total Pages | : 818 |
Release | : 1993-01-19 |
Genre | : |
ISBN | : 9814554391 |
The Wigner Symposium series is focussed on fundamental problems and new developments in physics and their experimental, theoretical and mathematical aspects. Particular emphasis is given to those topics which have developed from the work of Eugene P Wigner. The 2nd Wigner symposium is centered around notions of symmetry and geometry, the foundations of quantum mechanics, quantum optics and particle physics. Other fields like dynamical systems, neural networks and physics of information are also represented.This volume brings together 19 plenary lectures which survey latest developments and more than 130 contributed research reports.
Author | : Melvin G Calkin |
Publisher | : World Scientific Publishing Company |
Total Pages | : 240 |
Release | : 1999-03-12 |
Genre | : Science |
ISBN | : 9813105410 |
This book contains the exercises from the classical mechanics text Lagrangian and Hamiltonian Mechanics, together with their complete solutions. It is intended primarily for instructors who are using Lagrangian and Hamiltonian Mechanics in their course, but it may also be used, together with that text, by those who are studying mechanics on their own.