Semiclassical Resonances of Schrödinger operators as zeroes of regularized determinants
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Article de revue
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International Mathematics Research Notices. 2008, vol. 2008, p. ID rnn002, 55 pages
Oxford University Press (OUP)
Resumen en inglés
We prove that the resonances of long range perturbations of the (semiclassical) Laplacian are the zeroes of natural perturbation determinants. We more precisely obtain factorizations of these determinants of the form $ ...Leer más >
Palabras clave en inglés
Schrödinger operator
resonances
semi-classical
relative determinant
spectral shift function
scattering
Breit-Wigner