Explicit and almost explicit spectral calculations for diffusion operators
نویسندگان
چکیده
منابع مشابه
Explicit and Almost Explicit Spectral Calculations for Diffusion Operators
The diffusion operator HD = − 1 2 d dx a d dx − b d dx = − 1 2 exp(−2B) d dx a exp(2B) d dx , where B(x) = R x 0 b a (y)dy, defined either on R = (0,∞) with the Dirichlet boundary condition at x = 0, or on R, can be realized as a self-adjoint operator with respect to the density exp(2Q(x))dx. The operator is unitarily equivalent to the Schrödinger-type operator HS = − 1 2 d dx a d dx + Vb,a, wh...
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ژورنال
عنوان ژورنال: Journal of Functional Analysis
سال: 2009
ISSN: 0022-1236
DOI: 10.1016/j.jfa.2008.08.012