 98696 Yafaev D.
 A model of perturbation theory
(73K, PostScript)
Nov 2, 98

Abstract ,
Paper (src),
View paper
(auto. generated ps),
Index
of related papers

Abstract. We consider a model of the perturbation theory where the Hamiltonian ${\bf H}$ is
a sum of
a multiplication operator ${\bf H}_0$ by
$x^{2l}$ in the space
$L_2({\Bbb R}^d)$ and of an integral operator ${\bf V}$ with oscillating kernel.
We find conditions for the coincidence of the essential spectra of the operators ${
\bf H}_0$ and
${\bf H}$ and for the existence and completeness of the wave operators relating ${\
bf H}_0$ and
${\bf H}$.
 Files:
98696.src(
desc ,
98696.ps )