Yi-Shi Duan and Ru-Nan Huang 2008 J. Phys. A: Math. Theor. 41 045304 doi:10.1088/1751-8113/41/4/045304
Yi-Shi Duan and Ru-Nan Huang
Show affiliationsThrough the application of
-mapping topological theory, the properties of vortices in quantum Röntgen effect are thoroughly studied. The explicit expression of the vorticity is obtained, in which the δ function indicates that the vortices can only stem from the zero points of
, 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.
Issue 4 (1 February 2008)
Received 28 September 2007, in final form 6 December 2007
Published 15 January 2008
Yi-Shi Duan and Ru-Nan Huang 2008 J. Phys. A: Math. Theor. 41 045304
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