Discrete spectrum distribution of the Landau Operator Perturbed by an Expanding Electric Potential
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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 $t\to \infty$.
22 pages, AMSLaTEX
22 pages, AMSLaTEX