## SammlungP. A. M. Dirac was one of this century's most outstanding theoretical physicists. Among many fundamental advances, he formulated a fully relativistic theory of the electron, and predicted the existence of the positron. Dirac was awarded the Nobel Prize for Physics in 1933, at the age of just thirty-one. This volume brings together for the first time all of Dirac's scientific publications from 1924 until 1948, his most productive years. Each paper is reproduced in its original form and, for the few not in English, a matching translation is provided. Also included here are reset versions of Dirac's hitherto unpublished wartime research papers. This comprehensive collection will provide a valuable and convenient reference source, and will allow students of the history of science to trace the development of the ideas of one of the founders of quantum mechanics. |

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### Contents

SYMBOLIC ALGEBRA OF STATES AND OBSERVABLES | 7 |

EIGENVALUES AND EIGENSTATES 35 | 13 |

REPRESENTATIONS OF STATES AND OBSERVABLES 55 | 22 |

VT EQUATIONS OF MOTION AND QUANTUM CONDITIONS 92 | 31 |

ELEMENTARY APPLICATIONS 117 | 39 |

caused by a Perturbation 52 The Perturbation considered | 55 |

The golden years | 61 |

SYSTEMS CONTAINING SEVERAL SIMILAR PARTICLES 198 | 62 |

Electrons and Positrons by Themselves | 292 |

Conclusion | 296 |

The Interaction | 298 |

The Physical Variables | 302 |

Difficulties of the Theory | 306 |

INDEX | 311 |

THEORY OF RADIATION 218 | 463 |

CONTENTS | 475 |

Vn PERTURBATION THEORY | 167 |

COLLISION PROBLEMS | 186 |

SYSTEMS CONTAINING SEVERAL SIMILAR PARTICLES | 207 |

THEORY OF RADIATION | 225 |

The Motion of a Free Electron | 260 |

Existence of the Spin | 262 |

Transition to Polar Variables | 265 |

The FineStructure of the Energylevels of Hydrogen | 267 |

Theory of the Positron | 270 |

FIELD THEORY | 273 |

QUANTUM ELECTRODYNAMICS | 276 |

Quantum Conditions for the Electromagnetic Potentials | 278 |

Relativistic Form of the Quantum Conditions | 280 |

The Supplementary Conditions | 282 |

The Schrodinger Dynamical Variables | 283 |

Interaction of Field and Particles | 286 |

The Supplementary Conditions | 287 |

The Quantization of Electron Waves | 291 |

QUANTUM ELECTRODYNAMICS 276 | 477 |

Relativistic Notation 275 | 642 |

magnetic field | 649 |

RELATIVITY THEORY OF THE ELECTRON 238 | 657 |

The Electromagnetic Field in the Absence of Matter 276 | 693 |

The Supplementary Conditions 285 | 818 |

Electrons and Positrons by Themselves 292 | 884 |

1939J La theorie de lelectron et du champ electromagnetique | 925 |

methods | 1003 |

INDEX OF DEFINITIONS 299 | 1075 |

Classical Electrodynamics in Hamiltonian Form 289 | 1096 |

Passage to the Quantum Theory 296 | 1105 |

the oblate spheroid hemisphere and oblate hemispheroid | 1129 |

The Physical Variables 302 | 1191 |

INDEX 313 | 1214 |

Discussion of the Transverse Waves 306 | 1226 |

Complete bibliography of the works of P A M Dirac | 1299 |

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### Common terms and phrases

absorption algebraic amplitudes angular momentum applied arbitrary assumption atom c-numbers calculate canonical champ charge classical theory coefficients commute components conjugate consider constant contact transformation coordinates corresponding d'énergie defined denote density deux diagonal differential distribution Dr Dirac dynamical variables eigenfunctions eigenvalues electromagnetic field electron emission equal équations equations of motion états être expression factor fonction d'onde frequency given gives Hamiltonian Heisenberg Hence Hermitian integral interaction kinetic energy l'électron l'équation Lagrangian linear Lorentz magnetic mathematical matrix elements method momenta mouvement multiplied negative energy negative-energy nombre notation obtain operator orbit P. A. M. Dirac particles permutation perturbation peut Phys physical Poisson bracket positron probability problem Proc protons quantique quantities quantum mechanics quantum theory R. H. Fowler radiation relativistic representation representing result right-hand side satisfy scattering solution space spin stationary tion transformation transitions valeurs vanish vector velocity wave equation wave function zero