On a Certain Semiclassical Problem on Wiener Spaces

  • Shigeki Aida

    Osaka University, Japan

Abstract

We study asymptotic behavior of the spectrum of a Schrödinger type operator on the Wiener space as . Here denotes the Ornstein–Uhlenbeck operator and is a nonnegative potential function which has finitely many zero points. For some classes of potential functions, we determine the divergence order of the lowest eigenvalue. Also tunneling effect is studied.

Cite this article

Shigeki Aida, On a Certain Semiclassical Problem on Wiener Spaces. Publ. Res. Inst. Math. Sci. 39 (2003), no. 2, pp. 365–392

DOI 10.2977/PRIMS/1145476107