Spectral distributions for long range perturbations
The author studies distributions (spectral distributions) that generalize the concept of spectral shift functions to the case of long-range perturbations of pseudodifferential operators. He proves relations between spectral distributions and relative scattering determinants and he defines a regularized scattering phase. The relations that he obtains are analogous to the ones for the standard spectral shift function. Furthermore, the high-energy and the semiclassical limits are studied. In particular, Breit-Wigner formulae are proven for long-range potentials.
scientific article; zbMATH DE number 2105600
scientific article