The Development of the Action Principle

A Didactic History from Euler-Lagrange to Schwinger

Specificaties
Paperback, blz. | Engels
Springer International Publishing | e druk, 2021
ISBN13: 9783030691042
Rubricering
Springer International Publishing e druk, 2021 9783030691042
Onderdeel van serie SpringerBriefs in Physics
Verwachte levertijd ongeveer 9 werkdagen

Samenvatting

This book describes the historical development of the principle of stationary action from  the 17th to the 20th centuries. Reference is made to the most important contributors to this topic, in particular Bernoullis, Leibniz, Euler, Lagrange and Laplace. The leading theme is how the action principle is applied to problems in classical physics such as hydrodynamics, electrodynamics and gravity, extending also to the modern formulation of quantum mechanics and quantum field theory, especially quantum electrodynamics. A critical analysis of operator versus c-number field theory is given. The book contains many worked examples. In particular, the term "vacuum" is scrutinized.The book is aimed primarily at actively working researchers, graduate students and historians interested in the philosophical interpretation and evolution of physics; in particular, in understanding the action principle and its application to a wide range of natural phenomena.

Specificaties

ISBN13:9783030691042
Taal:Engels
Bindwijze:paperback
Uitgever:Springer International Publishing

Inhoudsopgave

Short Historical Introduction.-&nbsp;&nbsp;Curva Elastica.-&nbsp;The Curva Elastica, a Curve of Least Energy.- From&nbsp;Euler to Lagrange.-&nbsp;Laplace and the Capillary - 1807.-&nbsp;A Final Application in Elasticity with Jacobi Elliptic Functions.- Short List of Jacobi Elliptic Functions and Constants Used in Chapter 5.-&nbsp;Variational Methods for Periodic Motions; Mathieu Functions.-&nbsp;&nbsp;Lagrangian for Isentropic Irrotational Flow.-&nbsp;Action Principle in Classical Electrodynamics.- The Two Giants in Gravity: Einstein and Hilbert.-&nbsp;The Quantum Action Principle.-&nbsp;The Action Principle in Quantum Field Theory.-&nbsp;Quantum Field Theory on Space-Like Hypersurfaces.-&nbsp;Lagrangian Formulation of Gauge Theories.-&nbsp;Effective Actions (Lagrangians) in Quantum Field Theory.-&nbsp;&nbsp;Modified Photon Propagation Function, Source Theory.<p></p>

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        The Development of the Action Principle