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arxiv: 1504.04077 · v1 · pith:7VDKPNU2new · submitted 2015-04-16 · 🧮 math-ph · math.MP

Dynamical localization of Dirac particles in electromagnetic fields with dominating magnetic potentials

classification 🧮 math-ph math.MP
keywords diracdynamicalelectromagneticfieldslocalizationmagneticpotentialscase
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We consider two-dimensional massless Dirac operators in a radially symmetric electromagnetic field. In this case the fields may be described by one-dimensional electric and magnetic potentials $V$ and $A$. We show dynamical localization in the regime when $\displaystyle\lim_{r\to\infty}|V|/|A |<1$, where dense point spectrum occurs.

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