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[×ÊÔ´] FEYNMAN'S THESIS--A new approach to quantum theory

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
Contents
Space-time Approach to Non-Relativistic Quantum
Mechanics
71
R. P. Feynman
The Lagrangian in Quantum Mechanics
111
P. A. M. Dirac

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