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Teoreticheskaya i Matematicheskaya Fizika, 1997, Volume 110, Number 1, Pages 73–85
DOI: https://doi.org/10.4213/tmf953 (Mi tmf953) 		 
This article is cited in 14 scientific papers (total in 14 papers)

Quantum dissipative systems. III. Definition and algebraic structure

V. E. Tarasov

Skobeltsyn Institute of Nuclear Physics, Lomonosov Moscow State University
Full-text PDF (237 kB) Citations (14)
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DOI: https://doi.org/10.4213/tmf953
Abstract: Starting from the requirement of a consistent quantum description of dissipative (non-Hamiltonian) systems, which is formulated as the absence of a contradiction between the evolution equations for quantum dissipative systems and quantum commutation relations, we show that the Jacobi identity is not satisfied. Thus, the requirement for a consistent quantum description forces one go beyond the Lie algebra. As a result, anticommutative non-Lie algebras are necessary to describe dissipative (non-Hamiltonian) systems in quantum theory.
Received: 30.04.1996
English version:
Theoretical and Mathematical Physics, 1997, Volume 110, Issue 1, Pages 57–67
DOI: https://doi.org/10.1007/BF02630369
Bibliographic databases:
Language: Russian
Citation: V. E. Tarasov, “Quantum dissipative systems. III. Definition and algebraic structure”, TMF, 110:1 (1997), 73–85; Theoret. and Math. Phys., 110:1 (1997), 57–67
Citation in format AMSBIB
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\paper Quantum dissipative systems.~III. Definition and algebraic structure
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\jour Theoret. and Math. Phys.
\yr 1997
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\pages 57--67
\crossref{https://doi.org/10.1007/BF02630369}
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    Cycle of papers
    This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    References:41
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