Uncertainty relation for non-Hamiltonian quantum systems

Journal Article · Tue Jan 15 00:00:00 EST 2013 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.4776653· OSTI ID:22162710

Tarasov, Vasily E. ^[1]

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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, Vol. 54, Issue 1; Other Information: (c) 2013 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
EVOLUTION
HAMILTONIANS
LIE GROUPS
QUANTUM MECHANICS
SCHROEDINGER EQUATION
TIME DEPENDENCE
UNCERTAINTY PRINCIPLE