An Improved Remainder Estimate of Stationary Phase Method for Some Oscillatory Integrals over a Space of Large Dimension

DOI10.1619/FESI.49.59zbMath1113.81091OpenAlexW2022087793MaRDI QIDQ3433637

Naoto Kumano-Go, Daisuke Fujiwara

Publication date: 30 April 2007

Published in: Funkcialaj Ekvacioj (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1619/fesi.49.59

zbMATH Keywords

Fourier integral operatorsstationary phase methodFeynman path integral

Mathematics Subject Classification ID

Path integrals in quantum mechanics (81S40) Applications of manifolds of mappings to the sciences (58D30) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Fourier integral operators applied to PDEs (35S30) Perturbations of PDEs on manifolds; asymptotics (58J37)

Related Items (3)

An integration by parts formula for Feynman path integrals ⋮ Phase space Feynman path integrals via piecewise bicharacteristic paths and their semiclassical approximations ⋮ The second term of the semi-classical asymptotic expansion for Feynman path integrals with integrand of polynomial growth

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