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Quantum Logic and Geometric Quantization
Dipartimento di Matematica ed Applicazioni, Università degli studi di Milano Bicocca, Milano, Italia
- 1 Dipartimento di Matematica ed Applicazioni, Università degli studi di Milano Bicocca, Milano, Italia
Journal of Quantum Information Science·Volume 07 (2017)·Pages 35–42·Published 15 February 2017·DOI10.4236/jqis.2017.71003
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Abstract
We assume that M is a phase space and H an Hilbert space yielded by a quantization scheme. In this paper we consider the set of all “experimental propositions” of M and we look for a model of quantum logic in relation to the quantization of the base manifold M . In particular we give a new interpretation about previous results of the author in order to build an “asymptotics quantum probability space” for the Hilbert lattice L(H).
KeywordsGeometric QuantizationQuantum LogicHilbert LatticePosetTrace
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