Variational Principles in Physics
by
 
Basdevant, Jean-Louis. author.

Title
Variational Principles in Physics

Author
Basdevant, Jean-Louis. author.

ISBN
9780387377483

Personal Author
Basdevant, Jean-Louis. author.

Physical Description
X, 184 p. 30 illus. online resource.

Contents
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.

Abstract
Optimization under constraints is an essential part of everyday life. Indeed, we routinely solve problems by striking a balance between contradictory interests, individual desires and material contingencies. This notion of equilibrium was dear to thinkers of the enlightenment, as illustrated by Montesquieu’s famous formulation: "In all magistracies, the greatness of the power must be compensated by the brevity of the duration." Astonishingly, natural laws are guided by a similar principle. Variational principles have proven to be surprisingly fertile. For example, Fermat used variational methods to demonstrate that light follows the fastest route from one point to another, an idea which came to be known as Fermat’s principle, a cornerstone of geometrical optics. Variational Principles in Physics explains variational principles and charts their use throughout modern physics. The heart of the book is devoted to the analytical mechanics of Lagrange and Hamilton, the basic tools of any physicist. Prof. Basdevant also offers simple but rich first impressions of Einstein’s General Relativity, Feynman’s Quantum Mechanics, and more revealing and amazing interconnections between various fields of physics. A graduate of the Ecole Normale Superieure, Jean-Louis Basdevant is Professor and former Chair of the Department of Physics at the Ecole Polytechnique, and Director of Research for the CNRS. Specializing in the theoretical physics of elementary particles, quantum field theory and astrophysics, Prof. Basdevant works in the Leprince-Ringuet Laboratory at the Ecole Polytechnique.

Subject Term
Physics.
 
Mathematical optimization.
 
Mathematical physics.
 
Mechanics.
 
Mechanics, applied.
 
Mathematical Methods in Physics.
 
Calculus of Variations and Optimal Control; Optimization.
 
Optimization.
 
Theoretical and Applied Mechanics.
 
History and Philosophical Foundations of Physics.

Added Corporate Author
SpringerLink (Online service)

Electronic Access
http://dx.doi.org/10.1007/978-0-387-37748-3


LibraryMaterial TypeItem BarcodeShelf NumberStatus
IYTE LibraryE-Book505488-1001QC5.53Online Springer