1999/11/03 by Iwo Bialynicki-Birula, Iwo Białynicki‐Birula, Zofia Bialynicka-Birula +3
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Orbital Angular Momentum in Optics #Quantum, superfluid, helium dynamics #quant-ph
paper · pdf · doi:10.1103/physreva.61.032110
published as Phys. Rev. A 61, 032110 (2000) · 10 pages, 5 figures
arxiv created 1999/11/03 · openalex publication_date 2000/02/16 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Exact analytic solutions of the time-dependent Schr"odinger 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.