## Mathematical foundations of quantum theory |

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### Contents

Another Nonstandard Quantum Logic and How I Found It | 71 |

Some Unsolved Problems in Quantum Logics | 87 |

Manuals Morphisms and Quantum Mechanics | 105 |

Copyright | |

9 other sections not shown

### Common terms and phrases

1978 by Academic admits a classical amplitude axioms Banach space base-norm beam Boolean algebra C*-algebra C*-bundle called classical interpretation coherent commutative conditioning strategy convex combination corresponding countably additive Dacey manual defined denoted density operator dispersion free elements Empirical Logic equivalent event example exists experiment finite Foulis Foundations of Quantum full set G outcomes given Greechie hence Hilbert space homomorphism implies incoherent coarsenings induced isomorphic Lemma Let G linear manual G Math metric morphism morphism G Neumann algebra norm observables orthogonal sets orthologic orthomodular lattice orthomodular poset particle photodetectors photon Phys physical polarization positive probability measure Proof proposition pure quantization quantum logic quantum mechanics quantum theory Randall representation result rotation satisfies self-adjoint self-adjoint operator sequence slit spin statistics Stern-Gerlach Stern-Gerlach experiments structure subset subspace Suppose symmetry Theorem tion topology unique unitary University of Massachusetts vector weight function Weyl algebra