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Generating functionals for harmonic expectation values of paths with fixed end points: Feynman diagrams for nonpolynomial interactions.

@article{Kleinert1999GeneratingFF,
title={Generating functionals for harmonic expectation values of paths with fixed end points: Feynman diagrams for nonpolynomial interactions.},
author={H. Kleinert and A. Pelster and M. Bachmann},
journal={Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics},
year={1999},
volume={60 3},
pages={
2510-27
}
}

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics

We introduce a general class of generating functionals for the calculation of quantum-mechanical expectation values of arbitrary functionals of fluctuating paths with fixed end points in configuration or momentum space. The generating functionals are calculated explicitly for the harmonic oscillator with time-dependent frequency, and used to derive a smearing formula for correlation functions of polynomial and nonpolynomial functions of time-dependent positions and momenta. This formula… Expand