English

Motion of vortex lines in nonlinear wave mechanics

Quantum Physics 2009-11-07 v1

Abstract

We extend our previous analysis of the motion of vortex lines [I. Bialynicki-Birula, Z. Bialynicka-Birula and C. Sliwa, Phys. Rev. A 61, 032110 (2000)] from linear to a nonlinear Schroedinger equation with harmonic forces. We also argue that under certain conditions the influence of the contact nonlinearity on the motion of vortex lines is negligible. The present analysis adds new weight to our previous conjecture that the topological features of vortex dynamics are to a large extent universal.

Keywords

Cite

@article{arxiv.quant-ph/0110145,
  title  = {Motion of vortex lines in nonlinear wave mechanics},
  author = {Iwo Bialynicki-Birula and Zofia Bialynicka-Birula},
  journal= {arXiv preprint arXiv:quant-ph/0110145},
  year   = {2009}
}

Comments

To appear in Phys. Rev. A, 4 pages

R2 v1 2026-07-22T19:32:42.216Z