Weakly coupled bound states of Pauli operators

Details Weakly coupled bound states of Pauli operators Weakly coupled bound states of Pauli operators

2009-03-30

arxiv.org/abs/0903.5333v1

Calc. Var. Partial Differential Equations 40 (2010), no. 1 - 2, 253 - 271

Mathematics

Spectral Theory

19 pages

Scientific paper

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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