Abstract
We consider the Landau Hamiltonian H
0 on 
and the spectral asymptotics near the essential spectrum of the perturbed operator H
0 + V , for a variety of perturbations V . First, we give a noncomprehensive account on the known results when the perturbation is either a multiplication operator or a differential operator of first or second order. Secondly, we briefly expose new results when V is given by a pseudo-differential operator whose symbol is either slowly or fast decaying at infinity.
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. Pseudodifferential operators (Oberwolfach, 1986), pp. 91–122. Lecture Notes in Math., vol. 1256 (Springer, Berlin, 1987)Author information
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Cárdenas, E. (2020). Pseudo-Differential Perturbations of the Landau Hamiltonian. In: Miranda, P., Popoff, N., Raikov, G. (eds) Spectral Theory and Mathematical Physics. Latin American Mathematics Series(). Springer, Cham. https://doi.org/10.1007/978-3-030-55556-6_5
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DOI: https://doi.org/10.1007/978-3-030-55556-6_5
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