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
        }
}
  • H. Kleinert, A. Pelster, M. Bachmann
  • Published 1999
  • Medicine, Mathematics, Physics
  • 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
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