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

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.

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

References in corpus (4)

• Path integral treatment of two- and three-dimensional delta-function potentials and application to spin-1/2 Aharonov-Bohm problem
• Effects of Nongauge Potentials on the Spin-1/2 Aharonov-Bohm Problem
• Self-adjoint Extension Approach to the spin-1/2 Aharonov-Bohm-Coulomb Problem
• Proper incorporation of self-adjoint extension method to Green's function formalism : one-dimensional ${\delta }^{{}^{\prime }}$-function potential case

Cited by in corpus (5)

• Physical regularization for the spin-1/2 Aharonov-Bohm problem in conical space
• Bound state solutions of the Dirac oscillator in an Aharonov-Bohm-Coulomb system
• Relativistic quantum dynamics of neutral particle in external electric fields: An approach on effects of spin
• Singular Quantum Mechanical Viewpoint of Localized Gravity in Brane-World Scenario
• Aharonov-Bohm-Like Scattering in the Generalized Uncertainty Principle-corrected Quantum Mechanics