dorsal/arxiv
View SchemaComplex Probabilities on R^N as Real Probabilities on C^N and an Application to Path Integrals
| Authors | Don Weingarten |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0210195 |
| URL | https://arxiv.org/abs/quant-ph/0210195 |
| DOI | 10.1103/PhysRevLett.89.240201 |
| Journal | Phys.Rev.Lett. 89 (2002) 240201 |
Abstract
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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"abstract": "We establish a necessary and sufficient condition for averages over complex\nvalued weight functions on R^N to be represented as statistical averages over\nreal, non-negative probability weights on C^N. Using this result, we show that\nmany path-integrals for time-ordered expectation values of bosonic degrees of\nfreedom in real-valued time can be expressed as statistical averages over\nensembles of paths with complex-valued coordinates, and then speculate on\npossible consequences of this result for the relation between quantum and\nclassical mechanics.",
"arxiv_id": "quant-ph/0210195",
"authors": [
"Don Weingarten"
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"categories": [
"quant-ph",
"hep-lat",
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],
"doi": "10.1103/PhysRevLett.89.240201",
"journal_ref": "Phys.Rev.Lett. 89 (2002) 240201",
"title": "Complex Probabilities on R^N as Real Probabilities on C^N and an Application to Path Integrals",
"url": "https://arxiv.org/abs/quant-ph/0210195"
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