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- W2414890872 abstract "In this paper we develop a time-independent approach for the study of the spectral shift function (SSF for short). We apply this method for the perturbed Stark Hamiltonian. We obtain a weak and a Weyl-type asymptotics with optimal remainder estimate of the SSF of the operator pair (P = P0 + V(x), P0 = − h2Δ +x1), x = (x1,…, xn) where V(x) ∈ 𝒞∞(ℝn, ℝ) decays sufficiently fast at infinity, and h is a small positive parameter. Near a non-trapping energy λ, we give a pointwise asymptotic expansions in powers of h of the derivative of the SSF, and we compute explicitly the two leading terms." @default.
- W2414890872 created "2016-06-24" @default.
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- W2414890872 date "2015-08-10" @default.
- W2414890872 modified "2023-09-25" @default.
- W2414890872 title "A Time-Independent Approach for the Study of the Spectral Shift Function and an Application to Stark Hamiltonians" @default.
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- W2414890872 doi "https://doi.org/10.1080/03605302.2015.1053567" @default.
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