Abstract
The propagator of the spinless Aharonov–Bohm–Coulomb system is derived by following the Duru–Kleinert method. We use this propagator to explore the spin-1/2 Aharonov–Bohm–Coulomb system which contains a point interaction as a Zeeman term. Incorporation of the self-adjoint extension method into the Green's function formalism properly allows us to derive the finite propagator of the spin-1/2 Aharonov–Bohm–Coulomb system. As a by-product, the relation between the self-adjoint extension parameter and the bare coupling constant is obtained. Bound-state energy spectra of both spinless and spin-1/2 Aharonov–Bohm–Coulomb systems are examined.
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