Motion of vortex lines in quantum mechanics
Quantum Physics
2009-10-31 v1
Abstract
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.
Cite
@article{arxiv.quant-ph/9911007,
title = {Motion of vortex lines in quantum mechanics},
author = {Iwo Bialynicki-Birula and Zofia Bialynicka-Birula and Cezary Sliwa},
journal= {arXiv preprint arXiv:quant-ph/9911007},
year = {2009}
}
Comments
10 pages, 5 figures