 07254 O. Safronov
 Absolutely continuous spectrum of one random elliptic operator (revised)
(159K, pdf)
Oct 28, 07

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

Abstract. We consider the differential operator $H_0=\Delta+x^{\varepsilon}(\Delta_\theta)$ with $\varepsilon>0$. Here $\Delta_\theta$ is the LaplaceBeltrami operator on the unit sphere. We perturb now the operator $H_0$ by a random real valued potential $V=V_\omega$ and prove that the perturbed operator has an absolutely continuous component in the spectrum.
 Files:
07254.src(
07254.keywords ,
nonandr.pdf.mm )