Vortices in Quantum Röntgen Effect
Abstract
Description
By the application of $ϕ$-mapping topological theory, the properties of vortices in quantum Röntgen effect is thoroughly studied. The explicit expression of the vorticity is obtained, wherein which the $δ$ function indicates that the vortices can only stem from the zero points of $ϕ$ 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.
10 pages, no figure
10 pages, no figure