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Geometric classification of general dynamical systems

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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 can replace the associative *-algebras as a complete description of dynamical systems. This geometric language is equally applicable to the classical and quantum cases. Reversing the relation between the automorphism groups of the two relevant structures-(lattice) order and Lie product-one may obtain a large class of new (quantum) dynamical systems.

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Authors and Affiliations

  1. Institute for Nuclear Research and Nuclear Energy, 1784, Sofia, Bulgaria

    A. Petrov

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  1. A. Petrov
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Petrov, A. Geometric classification of general dynamical systems. Int J Theor Phys 28, 1311–1321 (1989). https://doi.org/10.1007/BF00669349

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  • DOI: https://doi.org/10.1007/BF00669349

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