Classical states, quantum field measurement

DOI10.1088/1402-4896/AB0C53arXiv1709.06711WikidataQ128302050 ScholiaQ128302050MaRDI QIDQ6291570

Peter Morgan

Publication date: 19 September 2017

Abstract: Classical Koopman--von Neumann Hilbert spaces of states are constructed here by the action of classical random fields on a vacuum state in ways that support an action of the quantized electromagnetic field and of the $U(1)$--invariant observables of the quantized Dirac spinor field, allowing a manifestly Lorentz invariant classical understanding of the state spaces of the two field theories, generalizing the Quantum--Mechanics--Free Systems of Tsang&Caves and Quantum Non-Demolition measurements. The algebra of functions on a classical phase space is commutative but the algebra of classical observables associated with coordinate transformations is noncommutative, so that, for example, we can as much ask whether a classical state is an eigenstate of a rotation as we can in quantum mechanics and so that entangled states can be distinguished from mixed states, making classical random fields as weird as quantum fields.

This page was built for publication: Classical states, quantum field measurement

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6291570)