All quantum expectation values as classical statistical mean values
Quantum Physics
2007-11-18 v2
Abstract
Given a physical quantum system described by a Hilbert H, for any bounded quantum observable (a bounded self-adjoint operator) T it is possible to define several ''hidden observable'' functions f:H->R associated to T and for any quantum mixed state (a density matrix) D it is possible to define several ''hidden mixed states'' (probability measures) m on H associated to D in such a way that the following equality is verified: Trace[ b(T). D] =integral[b(f(psi)).dm(psi) whatever is the continuous function b:R->R. This formula gives a general way to express any expectation value computable in a quantum theory as a classical statistical mean value.
Cite
@article{arxiv.0706.2603,
title = {All quantum expectation values as classical statistical mean values},
author = {Antonio Cassa},
journal= {arXiv preprint arXiv:0706.2603},
year = {2007}
}