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• W2086779794 abstract "We study in dimension d⩾2 low-energy spectral and scattering asymptotics for two-body d-dimensional Schrödinger operators with a radially symmetric potential falling off like −γr−2, γ>0. We consider angular momentum sectors, labelled by l=0,1,…, for which γ>(l+d/2−1)2. In each such sector the reduced Schrödinger operator has infinitely many negative eigenvalues accumulating at zero. We show that the resolvent has a non-trivial oscillatory behaviour as the spectral parameter approaches zero in cones bounded away from the negative half-axis, and we derive an asymptotic formula for the phase shift." @default.
• W2086779794 created "2016-06-24" @default.
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• W2086779794 date "2011-03-01" @default.
• W2086779794 modified "2023-09-30" @default.
• W2086779794 title "Two-body threshold spectral analysis, the critical case" @default.
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• W2086779794 doi "https://doi.org/10.1016/j.jfa.2010.12.014" @default.
• W2086779794 hasPublicationYear "2011" @default.
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