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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
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
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
Linking options:
https://www.mathnet.ru/eng/tmf953https://doi.org/10.4213/tmf953 https://www.mathnet.ru/eng/tmf/v110/i1/p73
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Abstract page: | 505 | Full-text PDF : | 264 | References: | 36 | First page: | 1 |
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