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Topological quantum dynamics of charged bosons

Marina-Aura Dariescu, Ciprian Dariescu and Gabriel Murariu

Chaos, Solitons & Fractals, 2006, vol. 28, issue 1, 1-7

Abstract: Using the Nielson–Olesen Lagrangian, we write down the system of coupled field equations and discuss some particular solutions. For a constant magnetic field, we work out the Klein–Gordon equation and derive a non-trivial current density. As we focus on the term in the vector-potential expressing pure topological effects, we derive the solution of the Klein–Gordon equation and the corresponding current density, in terms of the Aharonov–Bohm flux. It turns out that a radially non-homogeneous azimuthal current can be induced by a potentially-based electric field, of pure quantum origin.

Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:28:y:2006:i:1:p:1-7

DOI: 10.1016/j.chaos.2005.05.024

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