Abstract
In this article we develop an approach to the theory of meanfield systems in which the relevant algebras of observables are quotients of subalgebras of a hyperfinite tensor product of the one-particle algebra under consideration. So this aproach corresponds exactly to the intuitive picture of meanfield systems as many-particle systems, in particular it underlines the statistical character of meanfield phenomena. As practical applications we bring the treatment of general meanfield dynamics in this paper whereas the fluctuation phenomena are dealt with in [WH] on the basis of this approach.
This reseach is part of the project Operator Algebraic Quantum Optics supported by the Deutsche Forschungsgemeinschaft
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© 1995 Springer Science+Business Media Dordrecht
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Wolff, M.P.H. (1995). A Nonstandard Analysis Approach to the Theory of Quantum Meanfield Systems. In: Albeverio, S.A., Luxemburg, W.A.J., Wolff, M.P.H. (eds) Advances in Analysis, Probability and Mathematical Physics. Mathematics and Its Applications, vol 314. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-8451-7_20
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DOI: https://doi.org/10.1007/978-94-015-8451-7_20
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