Abstract
We study the low-energy asymptotics of the spectral shift function for Schrödinger operators with potentials decaying like \({O(\frac{1}{|x|^2})}\). We prove a generalized Levinson’s theorem for this class of potentials in presence of zero eigenvalue and zero resonance.
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Communicated by Claude Alain Pillet.
Research supported in part by the French National Research Project NONAa, No. ANR-08-BLAN-0228-01.
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Jia, X., Nicoleau, F. & Wang, X.P. A New Levinson’s Theorem for Potentials with Critical Decay. Ann. Henri Poincaré 13, 41–84 (2012). https://doi.org/10.1007/s00023-011-0117-0
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DOI: https://doi.org/10.1007/s00023-011-0117-0