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Hamiltonian self-adjoint extensions for (2+1)-dimensional Dirac particles

Hamiltonian self-adjoint extensions for (2+1)-dimensional Dirac particles

We study the stationary problem of a charged Dirac particle in (2+1) dimensions in the presence of a uniform magnetic field B and a singular magnetic tube of flux Φ = 2πκ/e. The rotational invariance of this configuration implies that the subspaces of definite angular momentum l + 1/2 are …