Variational Principles in Physics

2. Auflage 2023
ISBN: 978-3-031-21691-6
Verlag: Springer International Publishing

Buch, Englisch, 242 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 553 g

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.

Zielgruppe

Graduate

Autoren/Hrsg.

Basdevant, Jean-Louis

Fachgebiete

• Naturwissenschaften Physik Physik Allgemein Geschichte der Physik
• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
• Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde Statik, Dynamik, Kinetik, Kinematik
• Naturwissenschaften Physik Mechanik
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Optimierung

Inhaltsverzeichnis

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.

Über Autor(innen)

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).