Agmon-Type Estimates for a Class of Difference Operators
نویسندگان
چکیده
منابع مشابه
Agmon-type Estimates for a Class of Difference Operators
We analyze a general class of difference operators Hε = Tε +Vε on `2((εZ)d), where Vε is a one-well potential and ε is a small parameter. We construct a Finslerian distance d induced by Hε and show that short integral curves are geodesics. Then we show that Dirichlet eigenfunctions decay exponentially with a rate controlled by the Finsler distance to the well. This is analog to semiclassical Ag...
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ژورنال
عنوان ژورنال: Annales Henri Poincaré
سال: 2008
ISSN: 1424-0637,1424-0661
DOI: 10.1007/s00023-008-0383-7