07-254 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 Laplace-Beltrami 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: 07-254.src( 07-254.keywords , nonandr.pdf.mm )