We study asymptotic behavior of the spectrum of a Schrödinger type operator LVλ = L - λ2V on the Wiener space as λ → ∞. Here L denotes the Ornstein-Uhlenbeck 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.
|Number of pages||28|
|Journal||Publications of the Research Institute for Mathematical Sciences|
|Publication status||Published - 2003 Sep|
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