Propagator for spinless and spin-1/2 Aharonov-Bohm-Coulomb systems

Details Propagator for spinless and spin-1/2 Aharonov-Bohm-Coulomb systems Propagator for spinless and spin-1/2 Aharonov-Bohm-Coulomb systems

1997-07-02

arxiv.org/abs/hep-th/9707024v2

Annals Phys. 263 (1998) 295-309

Physics

High Energy Physics

High Energy Physics - Theory

Slightly changed, to appear in Annals of Physics. 18 pages, Latex

Scientific paper

10.1006/aphy.1997.5757

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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