Motion of vortex lines in quantum mechanics

Details Motion of vortex lines in quantum mechanics Motion of vortex lines in quantum mechanics

1999-11-03

arxiv.org/abs/quant-ph/9911007v1

Phys. Rev. A 61, 032110 (2000)

Physics

Quantum Physics

10 pages, 5 figures

Scientific paper

10.1103/PhysRevA.61.032110

Exact analytic solutions of the time dependent Schrodinger equation are produced that exhibit a variety of vortex structures. The qualitative analysis of the motion of vortex lines is presented and various types of vortex behavior are identified. Vortex creation and annihilation and vortex interactions are illustrated in the special cases of the free motion, the motion in the harmonic potential, and in the constant magnetic field. Similar analysis of the vortex motions is carried out also for a relativistic wave equation.

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