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Pauli approximations to the self-adjoint extensions of the Aharonov–Bohm Hamiltonian

Pauli approximations to the self-adjoint extensions of the Aharonov–Bohm Hamiltonian

It is well known that the formal Aharonov–Bohm Hamiltonian operator, describing the interaction of a charged particle with a magnetic vortex, has a four-parameter family of self-adjoint extensions, which reduces to a two-parameter family if one requires that the Hamiltonian commutes with the angular momentum operator. The question we study …