Operator orderings and functional formulations of quantum and stochastic dynamics |
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| Authors: | Hajo Leschke Manfred Schmutz |
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| Affiliation: | (1) Institut für Festkörperforschung, KFA Jülich, Federal Republic of Germany;(2) Institut für Physik, Universität Dortmund, Postfach 500500, D-4600 Dortmund 50, Federal Republic of Germany;(3) Institut für Mathematische Physik, Universität Karlsruhe, Kaiserstr. 12, D-7500 Karlsruhe 1, Federal Republic of Germany |
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| Abstract: | We study the connection between operator ordering schemes and thec-number formulations of quantum mechanics, which are based on generating functionals and functional integrals. We show by explicit construction that different operator ordering schemes are related to different functional and functional integral formulations of quantum mechanics. The results of these considerations are applied to classical non-linear stochastic dynamics by using the formal analogy between the Fokker-Planck equation and the Schrödinger equation. |
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