Open AccessOn a Certain Semiclassical Problem on Wiener Spaces
Author(s) -
Shigeki Aida
Publication year - 2003
Publication title -
publications of the research institute for mathematical sciences
Language(s) - English
Resource type - Journals
eISSN - 1663-4926
pISSN - 0034-5318
DOI - 10.2977/prims/1145476107
Subject(s) - semiclassical physics , mathematics , pure mathematics , physics , quantum mechanics , quantum
We study asymptotic behavior of the spectrum of a Schrodinger type operator LV = L − λV on the Wiener space as λ → ∞. Here L denotes the OrnsteinUhlenbeck operator and V 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. §
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