On a Certain Semiclassical Problem on Wiener Spaces
On a Certain Semiclassical Problem on Wiener Spaces
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DOI：
10.2977/prims/1145476107
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发表时间：
2003-06
影响因子：
1.2
通讯作者：
S. Aida
中科院分区：
文献类型：
--
作者：
S. Aida
研究了Wiener空间上Schrodinger型算子LV = L − λV的谱在λ → ∞时的渐近性态.这里L表示Ornstein-Uhlenbeck算子，V是一个具有2个零点的非负势函数。对于某些类型的势函数，我们确定了最低特征值的发散阶。并对隧道效应进行了研究。§
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. §