dorsal/arxiv
View SchemaYang-Mills Equation and Bures Metric
| Authors | J. Dittmann |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9806018 |
| URL | https://arxiv.org/abs/quant-ph/9806018 |
| Journal | Lett.Math.Phys. 46 (1998) 281-287 |
Abstract
It is shown that the connection form (gauge field) related to the generalization of the Berry phase to mixed states proposed by Uhlmann satisfies the source-free Yang-Mills equation *D*Dw=0, where the Hodge star is taken with respect to the Bures metric on the space of finite dimensional nondegenerate density matrices.
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"abstract": "It is shown that the connection form (gauge field) related to the\ngeneralization of the Berry phase to mixed states proposed by Uhlmann satisfies\nthe source-free Yang-Mills equation *D*Dw=0, where the Hodge star is taken with\nrespect to the Bures metric on the space of finite dimensional nondegenerate\ndensity matrices.",
"arxiv_id": "quant-ph/9806018",
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"journal_ref": "Lett.Math.Phys. 46 (1998) 281-287",
"title": "Yang-Mills Equation and Bures Metric",
"url": "https://arxiv.org/abs/quant-ph/9806018"
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