Hilbert Spaces from Path Integrals

Details Hilbert Spaces from Path Integrals Hilbert Spaces from Path Integrals

2010-02-02

arxiv.org/abs/1002.0589v3

J.Phys.A43:275302,2010

Physics

Quantum Physics

22 pages. Minor updates to match published version

Scientific paper

10.1088/1751-8113/43/27/275302

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.

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