English

Quantum Logic and Geometric quantization

Mathematical Physics 2017-04-14 v3 math.MP Quantum Physics

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 "asymptotic quantum probability space" for the Hilbert lattice L(H).

Keywords

Cite

@article{arxiv.1508.00774,
  title  = {Quantum Logic and Geometric quantization},
  author = {Simone Camosso},
  journal= {arXiv preprint arXiv:1508.00774},
  year   = {2017}
}
R2 v1 2026-06-22T10:26:06.425Z