Abstract
We suggest a Simpson's rule for discretized Feynman path integral approximation of density matrix element. For a class of bounded below potential functions, we rigorously establish the error boundO(1/N 2) for itsN-step discretized representation. As a model, we use harmonic oscillator to compare the Simpson's rule with the conventional trapezoidal rule.
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Zhang, P. Simpson's rule of discretized Feynman path integration. J Sci Comput 6, 47–60 (1991). https://doi.org/10.1007/BF01068124
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DOI: https://doi.org/10.1007/BF01068124