%0 Journal Article
%T Discrete spectrum distribution of the Landau Operator Perturbed by an Expanding Electric Potential
%A Grigori Rozenblum
%A Alexander V. Sobolev
%J Mathematics
%D 2007
%I arXiv
%X Under a perturbation by a decaying electric potential, the Landau Hamiltonian acquires some discrete eigenvalues between the Landau levels. We study the perturbation by an "expanding" electric potential $V(t^{-1}x)$, $t>0$, and derive a quasi-classical formula for the counting function of the discrete spectrum as $t\to \infty$.
%U http://arxiv.org/abs/0711.2158v1