Go to main content

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

Dittrich, Walter.
2021
QC173.98
Available Online
Formats
Format
BibTeX
MARCXML
TextMARC
MARC
DublinCore
EndNote
NLM
RefWorks
RIS
Add to Basket
Cite
Citation

Linked e-resources

Linked Resource
Online Access
Concurrent users
Unlimited
Authorized users
Authorized users
Document Delivery Supplied
Can lend chapters, not whole ebooks

Details

Title
The development of the action principle [electronic resource] : a didactic history from Euler-Lagrange to Schwinger / Walter Dittrich.
Author
Dittrich, Walter.
ISBN
9783030691059 (electronic bk.)
3030691055 (electronic bk.)
9783030691066 (print)
3030691063
9783030691073 (print)
3030691071
3030691047
9783030691042
DOI
https://doi.org/10.1007/978-3-030-69105-9
Published
Cham : Springer, 2021.
Language
English
Description
1 online resource.
Item Number
10.1007/978-3-030-69105-9 doi
Call Number
QC173.98
Dewey Decimal Classification
530.12
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
Bibliography, etc. Note
Includes bibliographical references.
Access Note
Access limited to authorized users.
Digital File Characteristics
text file
PDF
Source of Description
Online resource; title from PDF title page (SpringerLink, viewed June 3, 2021).
Series
SpringerBriefs in physics.
Available in Other Form
Development of the action principle.
Linked Resources
Online Access
Record Appears in
Online Resources > Ebooks
All Resources
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.

Browse Subjects

Show more subjects...

Statistics

from
to
Export