TITLE:
Quantum Logic and Geometric Quantization
AUTHORS:
Simone Camosso
KEYWORDS:
Geometric Quantization, Quantum Logic, Hilbert Lattice, Poset, Trace
JOURNAL NAME:
Journal of Quantum Information Science,
Vol.7 No.1,
March
31,
2017
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).