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Topological quantum dynamics of charged bosons

Authors
Journal
Chaos Solitons & Fractals
0960-0779
Publisher
Elsevier
Publication Date
Volume
28
Issue
1
Identifiers
DOI: 10.1016/j.chaos.2005.05.024
Disciplines
  • Mathematics
  • Physics

Abstract

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.

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