Jean-Louis Basdevant

Variational Principles in Physics (eBook, PDF)

• Format: PDF

Produktbeschreibung

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.

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Produktdetails

• Verlag: Springer Nature Switzerland
• Seitenzahl: 242
• Erscheinungstermin: 7. Februar 2023
• Englisch
• ISBN-13: 9783031216923
• Artikelnr.: 67419515

Autorenporträt

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).

Inhaltsangabe

Variational Principles.- The Analytical Mechanics of Lagrange.- Hamilton's Canonical Formalism.- Lagrangian Field Theory.- Motion in a Curved Space.- Feynman's Principle in Quantum Mechanics.

Rezensionen

From the reviews:

"This book is based on a course given by Professor Basdevant at the Ecole Polytechnique, near Paris. ... it would be an excellent basis for a course, provided one has the right collection of undergraduates. The book could also be used at a more advanced level in many ways ... . For anyone with radical tendencies in this direction, Basdevant's book will provide an elegant launching point." (L. S. Schulman, SIAM Review, Vol. 49 (4), 2007)

"It invites the reader onto the vessel 'variational principles' to embark on a journey through a variety of different areas and regions of physics. ... In general ... independent of individual preferences, Basdevant's book provides a well-balanced overview of various old and new areas of theoretical physics based on an approach by variational principles. Not only will students profit from this book, but also more advanced readers might get captivated by it." (H. Hogreve, Mathematical Reviews, Issue 2009 f)