Franklin

The development of the action principle : a didactic history from Euler-Lagrange to Schwinger / Walter Dittrich.

Author/Creator:
Dittrich, Walter.
Publication:
Cham : Springer, 2021.
Format/Description:
Book
1 online resource
Series:
SpringerBriefs in physics 2191-5423
SpringerBriefs in Physics, 2191-5423
Status/Location:
Loading...

Options
Location Notes Your Loan Policy

Details

Subjects:
Quantum theory -- History.
Schwinger action principle.
Quantum theory.
Form/Genre:
Electronic books.
Electronic books.
History.
System Details:
text file PDF
Summary:
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.
Contents:
Short Historical Introduction
Curva Elastica
The Curva Elastica, a Curve of Least Energy
From Euler to Lagrange
Laplace and the Capillary - 1807
A Final Application in Elasticity with Jacobi Elliptic Functions
Short List of Jacobi Elliptic Functions and Constants Used in Chapter 5
Variational Methods for Periodic Motions; Mathieu Functions
Lagrangian for Isentropic Irrotational Flow
Action Principle in Classical Electrodynamics
The Two Giants in Gravity: Einstein and Hilbert
The Quantum Action Principle
The Action Principle in Quantum Field Theory
Quantum Field Theory on Space-Like Hypersurfaces
Lagrangian Formulation of Gauge Theories
Effective Actions (Lagrangians) in Quantum Field Theory
Modified Photon Propagation Function, Source Theory.
Notes:
Includes bibliographical references.
Online resource; title from PDF title page (SpringerLink, viewed June 3, 2021).
ISBN:
9783030691059
3030691055
3030691047
9783030691042
9783030691066
3030691063
9783030691073
3030691071
OCLC:
1253477471
Publisher Number:
10.1007/978-3-030-69105-9 doi
Access Restriction:
Restricted for use by site license.