Mathematical Foundations of Quantum TheoryA. R. Marlow Mathematical Foundations of Quantum Theory is a collection of papers presented at the 1977 conference on the Mathematical Foundations of Quantum Theory, held in New Orleans. The contributors present their topics from a wide variety of backgrounds and specialization, but all shared a common interest in answering quantum issues. Organized into 20 chapters, this book's opening chapters establish a sound mathematical basis for quantum theory and a mode of observation in the double slit experiment. This book then describes the Lorentz particle system and other mathematical structures with which fun ... |
Contents
The Past and the DelayedChoice DoubleSlit | 9 |
Another Nonstandard Quantum Logic and How I Found | 71 |
Some Unsolved Problems in Quantum Logics | 87 |
Copyright | |
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a-outcomes admits a classical amplitude atomic axioms Banach space base-norm beam Boolean algebra C*-algebra C*-bundle called classical interpretation coherent commutative conditioning strategy convex convex combination corresponding countably additive Dacey manual defined denoted dispersion free elements Empirical Logic equivalent event example exists experiment finite Foulis Foundations of Quantum full set given Greechie hence Hilbert space homomorphism implies incoherent coarsenings induced isomorphic Lemma linear Math mathematical morphism Neumann algebra norm observables orthogonal sets orthologic orthomodular lattice orthomodular poset outcome particle photon Phys physical polarization probability measure projection Proof proposition pure quantum logic quantum mechanics quantum theory representation result rotation satisfies self-adjoint self-adjoint operator slit spin statistics Stern-Gerlach structure subset subspace Suppose Theorem tion topology unique unitary vector von Neumann algebra wave weight function Weyl algebra α α