Approximation and Equidistribution of Phase Shifts: Spherical Symmetry
نویسندگان
چکیده
منابع مشابه
Equidistribution of phase shifts in semiclassical potential scattering
Consider a semiclassical Hamiltonian H := h2∆ + V − E where ∆ is the positive Laplacian on Rd, V ∈ C∞ 0 (Rd) and E > 0 is an energy level. We prove that under an appropriate dynamical hypothesis on the Hamilton flow corresponding to H, the eigenvalues of the scattering matrix Sh(V ) define a measure on S1 that converges to Lebesgue measure away from 1 ∈ S1 as h→ 0.
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ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 2013
ISSN: 0010-3616,1432-0916
DOI: 10.1007/s00220-013-1841-8