The Axiom of Choice in Quantum Theory

Mathematical Logic Quarterly 42 (1):319-340 (1996)
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Abstract

We construct peculiar Hilbert spaces from counterexamples to the axiom of choice. We identify the intrinsically effective Hamiltonians with those observables of quantum theory which may coexist with such spaces. Here a self adjoint operator is intrinsically effective if and only if the Schrödinger equation of its generated semigroup is soluble by means of eigenfunction series expansions

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Citations of this work

Exclusion Principles as Restricted Permutation Symmetries.S. Tarzi - 2003 - Foundations of Physics 33 (6):955-979.

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References found in this work

The Axiom of Choice.Thomas J. Jech - 1973 - Amsterdam, Netherlands: North-Holland.
The Axiom of Choice.Gershon Sageev - 1976 - Journal of Symbolic Logic 41 (4):784-785.
Equivalents of the Axiom of Choice, II.Herman Rubin & Jean E. Rubin - 1987 - Journal of Symbolic Logic 52 (3):867-869.

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