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Richard P. Feynman: The Scientist's Scientist
One of the most famous scientists of the twentieth century, and an inexhaustible source of wonderful quotes, Richard Feynman shared the 1965 Nobel Prize in Physics with Julian Schwinger and Sin-Itiro Tomonaga for his contributions to the development of quantum electrodynamics. 1965 was also the year in which Feynman and A. R. Hibbs first published Quantum Mechanics and Path Integrals, which Dover reprinted in a new edition comprehensively emended by Daniel F. Styer in 2010.
In the Author's Own Words:
"Our freedom to doubt was born out of a struggle against authority in the early days of science. It was a very deep and strong struggle. It is our responsibility as scientists to proclaim the value of this freedom; to teach how doubt is not to be feared but welcomed and discussed; and to demand this freedom as our duty to all coming generations."
"I think I can safely say that nobody understands quantum mechanics."
"Our imagination is stretched to the utmost, not, as in fiction, to imagine things which are not really there, but just to comprehend those things which are there."
"To those who do not know mathematics it is difficult to get across a real feeling as to the beauty, the deepest beauty, of nature. . . . If you want to learn about nature, to appreciate nature, it is necessary to understand the language that she speaks in." — Richard P. Feynman
Preface | p. v |
Preface to Emended Edition | p. viii |
The Fundamental Concepts of Quantum Mechanics | p. 1 |
Probability in quantum mechanics | p. 2 |
The uncertainty principle | p. 9 |
Interfering alternatives | p. 13 |
Summary of probability concepts | p. 19 |
Some remaining thoughts | p. 22 |
The purpose of this book | p. 23 |
The Quantum-mechanical Law of Motion | p. 25 |
The classical action | p. 26 |
The quantum-mechanical amplitude | p. 28 |
The classical limit | p. 29 |
The sum over paths | p. 31 |
Events occurring in succession | p. 36 |
Some remarks | p. 39 |
Developing the Concepts with Special Examples | p. 41 |
The free particle | p. 42 |
Diffraction through a slit | p. 47 |
Results for a sharp-edged slit | p. 55 |
The wave function | p. 57 |
Gaussian integrals | p. 58 |
Motion in a potential field | p. 62 |
Systems with many variables | p. 65 |
Separable systems | p. 66 |
The path integral as a functional | p. 68 |
Interaction of a particle and a harmonic oscillator | p. 69 |
Evaluation of path integrals by Fourier series | p. 71 |
The Schrödinger Description of Quantum Mechanics | p. 75 |
The Schrödinger equation | p. 76 |
The time-independent hamiltonian | p. 84 |
Normalizing the free-particle wave functions | p. 89 |
Measurements and Operators | p. 95 |
The momentum representation | p. 96 |
Measurement of quantum-mechanical variables | p. 106 |
Operators | p. 112 |
The Perturbation Method in Quantum Mechanics | p. 119 |
The perturbation expansion | p. 120 |
An integral equation for KV | p. 126 |
An expansion for the wave function | p. 127 |
The scattering of an electron by an atom | p. 129 |
Time-dependent perturbations and transition amplitudes | p. 144 |
Transition Elements | p. 163 |
Definition of the transition element | p. 164 |
Functional derivatives | p. 170 |
Transition elements of some special functionals | p. 174 |
General results for quadratic actions | p. 182 |
Transition elements and the operator notation | p. 184 |
The perturbation series for a vector potential | p. 189 |
The hamiltonian | p. 192 |
Harmonic Oscillators | p. 197 |
The simple harmonic oscillator | p. 198 |
The polyatomic molecule | p. 203 |
Normal coordinates | p. 208 |
The one-dimensional crystal | p. 212 |
The approximation of continuity | p. 218 |
Quantum mechanics of a line of atoms | p. 222 |
The three-dimensional crystal | p. 224 |
Quantum field theory | p. 229 |
The forced harmonic oscillator | p. 232 |
Quantum Electrodynamics | p. 235 |
Classical electrodynamics | p. 237 |
The quantum mechanics of the rediation field | p. 242 |
The ground state | p. 244 |
Interaction of field and matter | p. 247 |
A single electron in a radiative field | p. 253 |
The Lamb shift | p. 256 |
The emission of light | p. 260 |
Summary | p. 262 |
Statistical Mechanics | p. 267 |
The partition function | p. 269 |
The path integral evaluation | p. 273 |
Quantum-mechanical effects | p. 279 |
Systems of several variables | p. 287 |
Remarks on methods of derivation | p. 296 |
The Variational Method | p. 299 |
A minimum principle | p. 300 |
An application of the variational method | p. 303 |
The standard variational principle | p. 307 |
Slow electrons in a polar crystal | p. 310 |
Other Problems in Probability | p. 321 |
Random pulses | p. 322 |
Characteristic functions | p. 324 |
Noise | p. 327 |
Gaussian noise | p. 332 |
Noise spectrum | p. 334 |
Brownian motion | p. 337 |
Quantum mechanics | p. 341 |
Influence functionals | p. 344 |
Influence functional from a harmonic oscillator | p. 352 |
Conclusions | p. 356 |
Appendix: Some Useful Definite Integrals | p. 359 |
Appendix: Notes | p. 361 |
Index | p. 366 |
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