Self-Adjoint Extensions of the Pauli Equation in the Presence of a Magnetic Monopole

@article{Karat1997SelfAdjointEO,
  title={Self-Adjoint Extensions of the Pauli Equation in the Presence of a Magnetic Monopole},
  author={Edwin Richard Karat and Michael B. Schulz},
  journal={Annals of Physics},
  year={1997},
  volume={254},
  pages={11-24}
}
Abstract We discuss the Hamiltonian for a nonrelativistic electron with spin in the presence of an abelian magnetic monopole and note that it is not self-adjoint in the lowest two angular momentum modes. We then use von Neumann's theory of self-adjoint extensions to construct a self-adjoint operator with the same functional form. In general, this operator will have eigenstates in which the lowest two angular momentum modes mix, thereby removing conservation of angular momentum. However… 
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