Motion of vortex lines in quantum mechanics - art. no. 032110

Exact analytic solutions of the time-dependent Schrodinger equation are pro duced that exhibit a variety of vortex structures. The qualitative analysis of the motion of vortex lines is presented and various types of vortex beh avior are identified. Vortex creation and annihilation and vortex interacti ons are illustrated in the special cases of the free motion, the motion in the harmonic potential, and in the constant magnetic field. Similar analysi s of the vortex motions is carried out also for a relativistic wave equatio n.