We show that the scattering matrix for a class of Schr\"odinger-type<br />
operators with long-range perturbations is a Fourier integral operator with the<br />
phase function which is the generating function of the modified classical<br />
s...
For the pair of self-adjoint<br />
Schr\"{o}dinger operators in a spectral shift function is<br />
determined in an explicit form with the help of (energy parameter dependent...
The spectral shift function of a pair of self-adjoint operators is expressed<br />
via an abstract operator valued Titchmarsh--Weyl -function. This general<br />
result is applied to different self-adjoint realizations of second-order<br />
ell...
Let be a Schr\"odinger type operator with long-range perturbation. We<br />
study the wave front set of the distribution kernel of , where is in the absolutely continous spectrumof .The<br />
res...
人文科学研究科
理学部