Hilbert Spaces from Path Integrals
Quantum Physics
2010-07-05 v3 General Relativity and Quantum Cosmology
High Energy Physics - Theory
Abstract
It is shown that a Hilbert space can be constructed for a quantum system starting from a framework in which histories are fundamental. The Decoherence Functional provides the inner product on this "History Hilbert space". It is also shown that the History Hilbert space is the standard Hilbert space in the case of non-relativistic quantum mechanics.
Keywords
Cite
@article{arxiv.1002.0589,
title = {Hilbert Spaces from Path Integrals},
author = {Fay Dowker and Steven Johnston and Rafael D. Sorkin},
journal= {arXiv preprint arXiv:1002.0589},
year = {2010}
}
Comments
22 pages. Minor updates to match published version