Discrete spectra of the Dirac Hamiltonian in Coulomb and Aharonov-Bohm potentials in 2+1 dimensions |
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Authors: | V R Khalilov K E Lee |
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Institution: | 1.Lomonosov Moscow State University,Moscow,Russia |
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Abstract: | We find all self-adjoint Dirac Hamiltonians in Coulomb and Aharonov-Bohm potentials in 2+1 dimensions with the fermion spin taken into account. We obtain implicit equations for the spectra and construct eigenfunctions
for all self-adjoint Dirac Hamiltonians in the indicated external fields. We find explicit solutions of the equations for
the spectra in some cases. |
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