## Quantum Mechanics, A Half Century Later: Papers of a Colloquium on Fifty Years of Quantum Mechanics, Held at the University Louis Pasteur, Strasbourg, May 2–4, 1974The articles collected in this volume were written for a Colloquium on Fifty Years of Quantum Mechanics which was held at the University Louis Pasteur of Strasbourg on May 2-4, 1974, in commemoration of the original work by De Broglie in 1924. It is our hope that this volume will convey to the reader the idea that quantum mechanics, besides being a fundamental tool for scien tific workers today, is also a source of a number of questions and thoughts about the interpretation of the foundation of quantum mechanics itself. This gives rise to problems of a philosophical and logical character and has repercussions on other domains such as the theory of gravitation. Besides the papers presented at the Colloquium, an article has been included by D. Bohm and B. Hiley. This compensates, perhaps, for the article of S. Kochen, whose manuscript unfortunately did not reach us in time for inclusion in ~his volume. A few months after this Colloquium we learned of the death of Professor Jauch, who had taken a lively and crucial part in its discussions. We have been extremely saddened by the news of his death, and would like to express our long standing indebtedness to him as a physicist. |

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### Contents

INCLUDE THE OBSERVER IN THE WAVE FUNCTION? | 1 |

ON THE POSSIBLE CONNECTIONS BETWEEN QUANTUM MECHANICS AND GRAVITATION | 19 |

THE QUANTUM PROBABILITY CALCULUS | 39 |

QUANTUM LOGICS AND IDEAL MEASUREMENTS OF THE FIRST KIND | 63 |

A FIRST LECTURE ON QUANTUM MECHANICS | 69 |

ESSAY ON THE DEVELOPMENT OF THE STATISTICAL THEORY OF THE CALCULUS OF PROBABILITY | 89 |

THE QUANTUM MECHANICAL ONESYSTEM FORMALISM JOINT PROBABILITIES AND LOCALITY | 107 |

ON PROPOSITIONS AND PHYSICAL SYSTEMS | 147 |

ON THE INTUITIVE UNDERSTANDING OF NONLOCALITY AS IMPLIED BY QUANTUM THEORY | 207 |

FOUR IDEAS OF DAVID BOHM ON THE RELATIONSHIP BETWEEN QUANTUM MECHANICS AND RELATIVITY | 227 |

THE ROLE OF QUANTUM MECHANICS IN THE SETUP OF A MATHEMATICAL GOVERNMENT AMONG MOLECULAR POPULATIONS | 237 |

HIDDEN PARAMETERS HIDDEN PROBABILITIES | 245 |

THE RECENT ATTEMPTS TO VERIFY QUANTUM MECHANICS | 261 |

SPIN CORRELATION MEASUREMENT IN PROTONPROTON SCATTERING AND COMPARISON WITH THE THEORIES OF THE LOCAL HI... | 291 |

305 | |

TOWARDS A PROPER QUANTUM THEORY Hints for a Recasting | 171 |

### Common terms and phrases

3-geometry analysis assumptions atoms beable position Bell Bell's inequalities Bell's theorem Bohm Bohr centre of mass classical physics compatible component Compton scattering concept consider consistency corresponding defined definition denote depend described dynamical Einstein electrons elements energy equation evolution example exist experiment experimental fact formalism fundamental geometry given hidden variable theories Hilbert space hypothesis independent interaction interpretation Jauch joint probability lattice loge macroscopic marginal conditions mathematical mean measuring apparatus microsystem momentum non-locality notion observable obtained operator parameters particle photons Phys physical system polarizers possible postulate predictions principle probability calculus proof properties quantities quantum mechanics quantum physics quantum potential quantum theory question random variables relation relative relevant scattering Schrodinger self-adjoint operator shows spacetime spin statistical structure subsets subsystems superposition superspace supersystem system of propositions theorem true universe validity vector wave function wave mechanics Wheeler whole Wigner Wigner's theorem zipper