| 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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