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Uncertainty relation for non-Hamiltonian quantum systems

Journal Article · · Journal of Mathematical Physics
DOI:https://doi.org/10.1063/1.4776653· OSTI ID:22162710
 [1]
  1. Skobeltsyn Institute of Nuclear Physics, Lomonosov Moscow State University, Moscow 119991 (Russian Federation)
General forms of uncertainty relations for quantum observables of non-Hamiltonian quantum systems are considered. Special cases of uncertainty relations are discussed. The uncertainty relations for non-Hamiltonian quantum systems are considered in the Schroedinger-Robertson form since it allows us to take into account Lie-Jordan algebra of quantum observables. In uncertainty relations, the time dependence of quantum observables and the properties of this dependence are discussed. We take into account that a time evolution of observables of a non-Hamiltonian quantum system is not an endomorphism with respect to Lie, Jordan, and associative multiplications.
OSTI ID:
22162710
Journal Information:
Journal of Mathematical Physics, Journal Name: Journal of Mathematical Physics Journal Issue: 1 Vol. 54; ISSN JMAPAQ; ISSN 0022-2488
Country of Publication:
United States
Language:
English

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