Stationary phase method in infinite dimensions by finite dimensional approximations: Applications to the Schrödinger equation
The authors continue their work on developing an approach by finite dimensional approximations for the study of infinite-dimensional oscillatory integrals and the relative method of stationary phase. Here the previous results are extended in several directions. In particular, the asymptotic expansions in both non-degenerate and degenerate cases are described in details. As an application a detailed asymptotic expansion in Planck's constant for the Schrödinger equation is derived.
infinite-dimensional oscillatory integrals
scientific article; zbMATH DE number 826837
scientific article