Vortices in Quantum Röntgen Effect

Details Vortices in Quantum Röntgen Effect Vortices in Quantum Röntgen Effect

2007-04-17

arxiv.org/abs/0704.2130v1

Physics

Condensed Matter

Other Condensed Matter

10 pages, no figure

Scientific paper

By the application of $\phi$-mapping topological theory, the properties of vortices in quantum R\"ontgen effect is thoroughly studied. The explicit expression of the vorticity is obtained, wherein which the $\delta$ function indicates that the vortices can only stem from the zero points of $\phi$ and the magnetic flux of the consequent monopoles is quantized in terms of the Hopf indices and Brouwer degrees. The evolution of vortex lines is discussed. The reduced dynamic equation and a conserved dynamic quantity on stable vortex lines are obtained.

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