Abstract
The idea of path integration or functional integration is to sum or average over paths. It implies a compact and suggestive method to take account of fluctuations in dynamic processes. Trail blazing work was done by DIRAC and FEYNMAN, for the case of quantum fluctuations, and by WIENER and KAC for the case of stochastic fluctuations some 40 to 50 years ago. Since then path integration has been successfully applied to practically all branches of physics with increasing frequency. In recent years, especially in (gauge- and other) field theoretical contexts, path-integral formulations and techniques dominate the scene. Consequently, path integration is being considered by many physicists as a convenient and effective language to formulate non-trivial dynamical theories.
“As it was, as soon as I heard Feynman describe his path integral approach to quantum mechanics during a lecture at Cornell everything became clear at once; and there remained only matters of rigor” MARK KAC [1]
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Leschke, H. (1981). Path Integral Approach to Fluctuations in Dynamic Processes. In: Haken, H. (eds) Chaos and Order in Nature. Springer Series in Synergetics, vol 11. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-68304-6_17
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DOI: https://doi.org/10.1007/978-3-642-68304-6_17
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