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Relativistic Aharonov–Bohm–Coulomb Problem

✍ Scribed by C.R. Hagen; D.K. Park

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
426 KB
Volume
251
Category
Article
ISSN
0003-4916

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✦ Synopsis

The ((2+1)-dimensional) Aharonov Bohm effect is analyzed for a spin-1Â2 particle in the case that a 1Âr potential is present. Scalar and vector couplings are each considered. It is found that the approach in which the flux tube is given a finite radius that is taken to zero only after a matching of boundary conditions does not give physically meaningful results. Specifically, the operations of taking the limit of zero flux tube radius and the Galilean limit do not commute. Thus there appears to be no satisfactory solution of the relativistic Aharonov Bohm Coulomb problem using the finite radius flux tube method.

📜 SIMILAR VOLUMES

Propagators for Spinless and Spin-1/2 Ah
Propagators for Spinless and Spin-1/2 Aharonov–Bohm–Coulomb Systems
✍ D.K. Park; Sahng-Kyoon Yoo 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 238 KB

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-1Â2 Aharonov Bohm Coulomb system which contains a point interaction as a Zeeman term. Incorporation of the self-adjoint extension method into the G