MOVING VORTEX LINE - ELECTRONIC-STRUCTURE, ANDREEV SCATTERING, AND MAGNUS-FORCE

The wave functions of quasiparticles in a vortex line, moving with vel ocity <(upsilon)over right arrow>(L) relative to the lattice when a tr ansport current with drift velocity <(upsilon)over right arrow>(T) is applied, are calculated by solving the time-dependent Bogoliubov-de Ge nnes equations for a high-kappa superconductor in contact with a reser voir of chemical potential mu. Far away from the vortex core the pair potential has the constant modulus Delta(proportional to). Comparison with the wave functions of a vortex at rest shows that vortex motion m odifies the amplitudes, the radial wave numbers of the states with ene rgy E > Delta(proportional to), and the penetration lengths of states with energy E < Delta(proportional to) by a term +/- epsilon(upsilon)c os Theta. Here Theta is the azimuthal angle of cylinder coordinates wi th the z direction parallel to the vortex axis, and epsilon(upsilon) = hk(rho)upsilon; upsilon = \<(upsilon)over right arrow>(T) - <(upsilon )over right arrow>(L)\ and k rho = root(2m/h(2))mu - k(z)(2), with kz being the wave number of propagation in the z direction. If one neglec ts terms of the order of epsilon(upsilon)(2) tn the spectrum of bond s tates, one obtains the same eigenvalues as for the vortex at rest. The supercurrent force on the corresponding quasiparticles, caused by And reev scattering at the core boundary, is calculated with the upsilon-m odified wave functions. It transfers half of the Magnus force from the moving condensate to the unpaired quasiparticles in the vortex core.