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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:
65D20Computation of special functions, construction of tables
81S40Path integrals in quantum mechanics
28C20Set functions and measures and integrals in infinite-dimensional spaces
65D32Quadrature and cubature formulas (numerical methods)