Abstract
We consider the Schrödinger operator with constant full-rank magnetic field, perturbed by an electric potential which decays at infinity, and has a constant sign. We study the asymptotic behaviour for large values of the electric-field coupling constant of the eigenvalues situated in the gaps of the essential spectrum of the unperturbed operator.
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Communicated by B. Simon
Partly supported by the Bulgarian Science Foundation under contract MM 33/91
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Raikov, G.D. Strong-electric-field eigenvalue asymptotics for the perturbed magnetic Schrödinger operator. Commun.Math. Phys. 155, 415–428 (1993). https://doi.org/10.1007/BF02097399
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DOI: https://doi.org/10.1007/BF02097399