Weakly coupled bound states of Pauli operators

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.

19 pages

References in corpus (1)

• Asymptotic behavior of eigenvalues of Schrödinger type operators with degenerate kinetic energy

Cited by in corpus (5)

• Absence of eigenvalues of Dirac and Pauli Hamiltonians via the method of multipliers
• Large time behavior of the heat kernel of two-dimensional magnetic Schroedinger operators
• Weak perturbations of the p-Laplacian
• Asymptotics for eigenvalues of one-dimensional Dirac operators in the weak coupling limit
• Weak coupling asymptotics for the Pauli operator in two dimensions