Feynman's Thesis A New Approach to Quantum Theory~tqw~ darksiderg

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  Feynman's Thesis A New Approach to Quantum Theory~tqw~ darksiderg
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  *******************************************************************************<br /> Feynman's Thesis: A New Approach to Quantum Theory <br /> *******************************************************************************<br /> <br /> -------------------------------------------------------------------------------<br /> General Information<br /> -------------------------------------------------------------------------------<br /> Type.................: Ebook<br /> Part Size............: 6,146,007 bytes<br /> <br /> <br /> <br /> <br /> -------------------------------------------------------------------------------<br /> Post Information<br /> -------------------------------------------------------------------------------<br /> Posted by............: ~tqw~<br /> <br /> -------------------------------------------------------------------------------<br /> Release Notes<br /> -------------------------------------------------------------------------------<br /> &quot;Richard Feynman's never previously published doctoral thesis formed the heart <br /> of much of his brilliant and profound work in theoretical physics. Entitled &quot;The <br /> Principle of Least Action in Quantum Mechanics,&quot; its original motive was to <br /> quantize the classical action-at-a-distance electrodynamics. Because that theory <br /> adopted an overall space-time viewpoint, the classical Hamiltonian approach used <br /> in the conventional formulations of quantum theory could not be used, so Feynman <br /> turned to the Lagrangian function and the principle of least action as his <br /> points of departure.&quot; The result was the path integral approach, which satisfied <br /> - and transcended - its original motivation, and has enjoyed great success in <br /> renormalized quantum field theory, including the derivation of the ubiquitous <br /> Feynman diagrams for elementary particles. Path integrals have many other <br /> applications, including atomic, molecular, and nuclear scattering, statistical <br /> mechanics, quantum liquids and solids, Brownian motion, and noise theory. It <br /> also sheds new light on fundamental issues like the interpretation of quantum <br /> theory because of its new overall space-time viewpoint. <br /> <br /> Table Of Contents<br /> <br /> Preface vii<br /> The Principle of Least Action in Quantum Mechanics<br /> R. P. Feynman<br /> I. Introduction 1<br /> II. Least Action in Classical Mechanics 6<br /> 1. The Concept of Functional 6<br /> 2. The Principle of Least Action 9<br /> 3. Conservation of Energy. Constants of the Motion 10<br /> 4. Particles Interacting through an Intermediate Oscillator 16<br /> III. Least Action in Quantum Mechanics 24<br /> 1. The Lagrangian in Quantum Mechanics 26<br /> 2. The Calculation of Matrix Elements in the<br /> Language of a Lagrangian 32<br /> 3. The Equations of Motion in Lagrangian Form 34<br /> 4. Translation to the Ordinary Notation of Quantum<br /> Mechanics 39<br /> 5. The Generalization to Any Action Function 41<br /> 6. Conservation of Energy. Constants of the Motion 42<br /> 7. The Role of the Wave Function 44<br /> 8. Transition Probabilities 46<br /> 9. Expectation Values for Observables 49<br /> 10. Application to the Forced Harmonic Oscillator 55<br /> 11. Particles Interacting through an Intermediate Oscillator 61<br /> 12. Conclusion 68<br /> Space-time Approach to Non-Relativistic Quantum Mechanics 71<br /> The Lagrangian in Quantum Mechanics 111<br /> <br /> Product Details<br /> <br /> * ISBN: 9812563660<br /> * ISBN-13: 9789812563668<br /> * Format: Hardcover, 119pp<br /> * Publisher: World Scientific Publishing Company, Incorporated<br /> * Pub. Date: August 2005<br /> <br /> -------------------------------------------------------------------------------<br /> Install Notes<br /> -------------------------------------------------------------------------------<br /> PDF Reader<br />
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