The Axiom of Choice in Quantum Theory

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