English

Vortices in Quantum R\"ontgen Effect

Other Condensed Matter 2007-05-23 v1

Abstract

By the application of ϕ\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 δ\delta function indicates that the vortices can only stem from the zero points of ϕ\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.

Keywords

Cite

@article{arxiv.0704.2130,
  title  = {Vortices in Quantum R\"ontgen Effect},
  author = {Yi-Shi Duan and Ru-Nan Huang},
  journal= {arXiv preprint arXiv:0704.2130},
  year   = {2007}
}
R2 v1 2026-06-21T08:19:23.794Z