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arXiv · 0903.5333

Weakly coupled bound states of Pauli operators

Rupert L. Frank·Sergey Morozov·Semjon Vugalter
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Abstract

We consider the two-dimensional Pauli operator perturbed by a weakly coupled, attractive potential. We show that besides the eigenvalues arising from the Aharonov-Casher zero modes there are two or one (depending on whether the flux of the magnetic field is integer or not) additional eigenvalues for arbitrarily small coupling and we calculate their asymptotics in the weak coupling limit.

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Rupert L. Frank, Sergey Morozov, Semjon Vugalter. 2009-03-30. Weakly coupled bound states of Pauli operators. https://doi.org/10.1007/s00526-010-0339-x

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