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On the deterministic computation of functional integrals in application to quantum mechanical problems. (English) Zbl 0633.65019

In previous works the authors derived a “composite approximation formulae” for functional integral with respect to Gaussian measure and Wiener measure. Here, they apply these results to some practical estimations, and they show that, on the computation standpoint, the corresponding central process unit time is lower than the required time when one uses Monte Carlo techniques.
Reviewer: G.Jumarie

MSC:

65D20 Computation of special functions and constants, construction of tables
81S40 Path integrals in quantum mechanics
28C20 Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.)
65D32 Numerical quadrature and cubature formulas
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