A semi-classical trace formula for Schrödinger operators
نویسندگان
چکیده
منابع مشابه
A Semi-Classical Trace Formula for Schr6dinger Operators
Let S n = h d + V on R", with V smooth. If O<E2<liminfV(x), the spectrum of S~ near E 2 consists (for h small) of finitely-many eigenvalues, 2j(h). We study the asymptot ic distribution of these eigenvalues about E 2 as h ~ 0 ; we obtain semi-classical asymptotics for with f ~ C~ ~ in terms of the periodic classical trajectories on the energy surface BE= {1412+ V(x)=E2}. This in turn gives Weyl...
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ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 1991
ISSN: 0010-3616,1432-0916
DOI: 10.1007/bf02099074