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We review the basic ideas and results on the vortex dynamics in cleansuperfluid Fermi systems. The forces acting on moving vortices are discussedincluding the problem of the transverse force which was a matter of confusionfor quite a time. Finally, we formulate the equations of the vortex dynamicswhich include all the forces and the inertial term associated with excitationsbound to the moving vortex.

Vortex Dynamics and the Problem of the Transverse Force in Clean Superconductors and Fermi Superfluids