Variational Principles in Physics

This revised and enhanced new edition of a well-established textbook provides a balanced overview of various areas of theoretical physics based on the use of variational principles. As well as field theory, the book deals with motion in curved spaces, the cradle of general relativity, and gravitational optics. New chapters on the relation of classical mechanics and geometrical optics as well as gravitational waves, which are considered as a true confirmation of general relativity, have been included. Each chapter has been carefully revised and enlarged. Finally, the text describes Feynman's formulation of quantum mechanics by path integrals, which gives the link between quantum and classical mechanics.
The book provides a set of exercises, problems, and solutions.

List of contents

Chapter 1. Structure of physical theories.- Chapter 2. Variational Principles.- Chapter 3. The Analytical Mechanics of Lagrange.- Chapter 4. Hamilton's canonical formalism.- Chapter 5. Action, Optics, Hamilton-Jacobi equation.- Chapter 6. Lagrangian Field Theory.- Chapter 7. Motion in a Curved Space.- Chapter 8. Gravitational waves.- Chapter 9. Feynman's Path Integrals in quantum Mechanics.

About the author

Jean-Louis Basdevant, graduated from Ecole Normale Supérieure (1958-1963), Ph.D. at Strasbourg University (1967), is Assistant Researcher and Director of Research at the CNRS (1963-2007), CERN (1970-1972), Professor at the Ecole Polytechnique (1969-2004), and Nominated Honorary Professor (2004).

Summary

Product details

• Authors: Jean-Louis Basdevant
• Publisher: Springer, Berlin
• Languages: English
• Product format: Paperback / Softback
• Released: 22.02.2024
• EAN: 9783031216947
• ISBN: 978-3-0-3121694-7
• No. of pages: 242
• Dimensions: 155 mm x 14 mm x 235 mm
• Illustrations: XIII, 242 p. 46 illus., 10 illus. in color.
• Subjects: Natural sciences, medicine, IT, technology > Physics, astronomy > Theoretical physics; Physik, Maschinenbau, Optimierung, Wissenschaftsphilosophie und -theorie, Optimization, Klassische Mechanik, Classical mechanics, Philosophical Foundations of Physics and Astronomy, Mathematical Methods in Physics, Calculus of Variations and Optimization, Engineering Mechanics, quantum mechanics, Theory of Relativity, Gravitational Waves, Feynman path integrals, Optimal processes, Textbook variational principles, Curved space, Relativistic physics, modern physics