简介
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鈥檚 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鈥檚 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鈥檚 General Relativity, Feynman鈥檚 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.
目录
Front matter 1-12
Praise of physics 13-24
A quantum phenomenon 25-43
Wave function, Schr枚dinger equation 45-64
Physical quantities 65-86
Energy quantization 87-111
Principles of quantum mechanics 113-141
Two-state systems 143-160
Algebra of observables 161-177
Angular momentum 179-197
The Hydrogen Atom 199-228
Spin 1/2 229-245
The Pauli Principle 247-262
Entangled states: The way of paradoxes 263-301
Quantum mechanics in the Universe 303-307
Back matter Back matter
Praise of physics 13-24
A quantum phenomenon 25-43
Wave function, Schr枚dinger equation 45-64
Physical quantities 65-86
Energy quantization 87-111
Principles of quantum mechanics 113-141
Two-state systems 143-160
Algebra of observables 161-177
Angular momentum 179-197
The Hydrogen Atom 199-228
Spin 1/2 229-245
The Pauli Principle 247-262
Entangled states: The way of paradoxes 263-301
Quantum mechanics in the Universe 303-307
Back matter Back matter
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