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Complementarity in classical dynamical systems

  • The concept of complementarity, originally defined for non-commuting observables of quantum systems with states of non-vanishing dispersion, is extended to classical dynamical systems with a partitioned phase space. Interpreting partitions in terms of ensembles of epistemic states (symbols) with corresponding classical observables, it is shown that such observables are complementary to each other with respect to particular partitions unless those partitions are generating. This explains why symbolic descriptions based on an ad hoc partition of an underlying phase space description should generally be expected to be incompatible. Related approaches with different background and different objectives are discussed

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Author details:Peter Beim GrabenGND, Harald AtmanspacherGND
URL:http://www.springerlink.com/content/101591
DOI:https://doi.org/10.1007/s10701-005-9013-0
ISSN:0015-9018
Publication type:Article
Language:English
Year of first publication:2006
Publication year:2006
Release date:2017/03/24
Source:Foundations of physics. - ISSN 0015-9018. - 36 (2006), 2, S. 291 - 306
Organizational units:Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie
Peer review:Referiert
Institution name at the time of the publication:Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik
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