Coordinate uncertainty principle in a generalized phase space (Q2254125)
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| Language | Label | Description | Also known as |
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| English | Coordinate uncertainty principle in a generalized phase space |
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Coordinate uncertainty principle in a generalized phase space (English)
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4 February 2015
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Based on the generalized Liouville theorem, which was proved earlier by the authors [Dokl. Math. 88, No. 1, 457--459 (2013); translation from Dokl. Akad. Nauk, 451, No. 5, 505--507 (2013; Zbl 1277.82009)] , the coordinate uncertainty principle is considered. Using the results obtained in this theorem that the generalized phase volume under the Taylor mapping is conserved the authors receive the probabilistic coordinate uncertainty relation, that depends on the minimum of the generalized phase space volume.
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gas
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kinetic theory
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uncertainty principle
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phase space
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infinite dimension
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occupied volume
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Liouville theorem
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coordinate uncertainty
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