Abstract
A combination of the geometric spectral theory (based on a pair of an order-unit space and a base-norm space) with the theory of invariant cones in Lie algebras gives a unified language for a complete description of both quantum and classical dynamical systems. Reversing the relation between the automorphism groups of the two relevant structures (order and Lie product) we possibly get a large class of new (quantum) systems.
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© 1988 Springer-Verlag
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Petrov, A. (1988). Invariantly ordered spectral lie algebras as abstract dynamical systems. In: Doebner, HD., Hennig, JD., Palev, T.D. (eds) Group Theoretical Methods in Physics. Lecture Notes in Physics, vol 313. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0012260
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DOI: https://doi.org/10.1007/BFb0012260
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