Physics – Quantum Physics
Scientific paper
2002-10-29
Phys.Rev.Lett. 89 (2002) 240201
Physics
Quantum Physics
4 pages, 0 figures
Scientific paper
10.1103/PhysRevLett.89.240201
We establish a necessary and sufficient condition for averages over complex valued weight functions on R^N to be represented as statistical averages over real, non-negative probability weights on C^N. Using this result, we show that many path-integrals for time-ordered expectation values of bosonic degrees of freedom in real-valued time can be expressed as statistical averages over ensembles of paths with complex-valued coordinates, and then speculate on possible consequences of this result for the relation between quantum and classical mechanics.
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