dorsal/arxiv
View SchemaClassical Limit of Quantum Dynamical Entropies
| Authors | F. Benatti, V. Cappellini, M. De Cock, M. Fannes, D. Vanpeteghem |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0308069 |
| URL | https://arxiv.org/abs/quant-ph/0308069 |
| DOI | 10.1142/S0129055X03001837 |
| Journal | Rev. Math. Phys., Vol. 15 Num. 8 (October 2003) 847-875 |
Abstract
Two non-commutative dynamical entropies are studied in connection with the classical limit. For systems with a strongly chaotic classical limit, the Kolmogorov-Sinai invariant is recovered on time scales that are logarithmic in the quantisation parameter. The model of the quantised hyperbolic automorphisms of the 2-torus is examined in detail.
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"abstract": "Two non-commutative dynamical entropies are studied in connection with the\nclassical limit. For systems with a strongly chaotic classical limit, the\nKolmogorov-Sinai invariant is recovered on time scales that are logarithmic in\nthe quantisation parameter. The model of the quantised hyperbolic automorphisms\nof the 2-torus is examined in detail.",
"arxiv_id": "quant-ph/0308069",
"authors": [
"F. Benatti",
"V. Cappellini",
"M. De Cock",
"M. Fannes",
"D. Vanpeteghem"
],
"categories": [
"quant-ph",
"math-ph",
"math.MP"
],
"doi": "10.1142/S0129055X03001837",
"journal_ref": "Rev. Math. Phys., Vol. 15 Num. 8 (October 2003) 847-875",
"title": "Classical Limit of Quantum Dynamical Entropies",
"url": "https://arxiv.org/abs/quant-ph/0308069"
},
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