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Local spectral asymptotics for metric perturbations of the Landau Hamiltonian

Local spectral asymptotics for metric perturbations of the Landau Hamiltonian

We consider metric perturbations of the Landau Hamiltonian.We investigate the asymptotic behavior of the discrete spectrum of the perturbed operator near the Landau levels, for perturbations of compact support, and of exponential or power-like decay at infinity.where W := j,k=1,2 j m jk k ; in the case of H …