ar X iv : h ep - t h / 96 01 06 3 v 1 1 2 Ja n 19 96 Analog of Lie Algebra and Lie Group for Quantum Non - Hamiltonian Systems
نویسنده
چکیده
In order to describe non-Hamiltonian (dissipative) systems in quantum theory we need to use non-Lie algebra such that commutators of this algebra generate Lie subalgebra. It was shown that classical connection between analytic group (Lie group) and Lie algebra, proved by Lie theorems, exists between analytic loop, commutant of which is associative subloop (group), and commutant Lie algebra (an algebra commutant of which is Lie subalgebra).
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