Abstract.
In the large-coupling constant limit we obtain an asymptotic expansion in powers of \( \mu ^{{ - \frac{1} {\delta }}} \) of the derivative of the spectral shift function corresponding to \( {\left( { - \Delta + \mu W(x), - \Delta } \right)} \). Here the potential W(x) is positive and \( W(x) \sim \omega _{0} (\frac{x} {{|x|}})|x|^{{ - \delta }} \) near infinity for some δ> n and ω0 ∈C∞ (Sn-1).
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Communicated by Bernard Helffer
submitted 18/05/05, accepted 19/10/05
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Dimassi, M. Spectral Shift Function in the Large Coupling Constant Limit. Ann. Henri Poincaré 7, 513–525 (2006). https://doi.org/10.1007/s00023-005-0258-0
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DOI: https://doi.org/10.1007/s00023-005-0258-0