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Feynmans Thesis A New Approach to Quantum Theory~tqw~ darksiderg

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Feynman's Thesis: A New Approach to Quantum Theory
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Type.................: Ebook
Part Size............: 6,146,007 bytes




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Posted by............: ~tqw~

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"Richard Feynman's never previously published doctoral thesis formed the heart
of much of his brilliant and profound work in theoretical physics. Entitled "The
Principle of Least Action in Quantum Mechanics," its original motive was to
quantize the classical action-at-a-distance electrodynamics. Because that theory
adopted an overall space-time viewpoint, the classical Hamiltonian approach used
in the conventional formulations of quantum theory could not be used, so Feynman
turned to the Lagrangian function and the principle of least action as his
points of departure." The result was the path integral approach, which satisfied
- and transcended - its original motivation, and has enjoyed great success in
renormalized quantum field theory, including the derivation of the ubiquitous
Feynman diagrams for elementary particles. Path integrals have many other
applications, including atomic, molecular, and nuclear scattering, statistical
mechanics, quantum liquids and solids, Brownian motion, and noise theory. It
also sheds new light on fundamental issues like the interpretation of quantum
theory because of its new overall space-time viewpoint.

Table Of Contents

Preface vii
The Principle of Least Action in Quantum Mechanics
R. P. Feynman
I. Introduction 1
II. Least Action in Classical Mechanics 6
1. The Concept of Functional 6
2. The Principle of Least Action 9
3. Conservation of Energy. Constants of the Motion 10
4. Particles Interacting through an Intermediate Oscillator 16
III. Least Action in Quantum Mechanics 24
1. The Lagrangian in Quantum Mechanics 26
2. The Calculation of Matrix Elements in the
Language of a Lagrangian 32
3. The Equations of Motion in Lagrangian Form 34
4. Translation to the Ordinary Notation of Quantum
Mechanics 39
5. The Generalization to Any Action Function 41
6. Conservation of Energy. Constants of the Motion 42
7. The Role of the Wave Function 44
8. Transition Probabilities 46
9. Expectation Values for Observables 49
10. Application to the Forced Harmonic Oscillator 55
11. Particles Interacting through an Intermediate Oscillator 61
12. Conclusion 68
Space-time Approach to Non-Relativistic Quantum Mechanics 71
The Lagrangian in Quantum Mechanics 111

Product Details

* ISBN: 9812563660
* ISBN-13: 9789812563668
* Format: Hardcover, 119pp
* Publisher: World Scientific Publishing Company, Incorporated
* Pub. Date: August 2005

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