On the deterministic computation of functional integrals in application to quantum mechanical problems

DOI10.1016/0377-0427(87)90141-5zbMath0633.65019OpenAlexW2075496781MaRDI QIDQ1096324

E. P. Zhidkov, O. V. Sidorova, Yu. Yu. Lobanov, M. jun. Greguš

Publication date: 1987

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(87)90141-5

zbMATH Keywords

numerical integrationlinear oscillatorWiener measurequantum mechanicsanharmonic oscillatorGaussian measurefunctional integralapproximate formulaFrechét spacepractical estimations

Mathematics Subject Classification ID

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

Related Items (3)

Computation of multiple functional integrals in quantum physics ⋮ Computation of conditional Wiener integrals by the composite approximation formulas with weight ⋮ Numerical solution of some partial differential equations by means of a deterministic method of approximate functional integration

Cites Work

• Integration in Functional Spaces and its Applications in Quantum Physics
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