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Vortex Lattices in Quantum Mechanics

Superconductivity 2016-08-31 v1 Mesoscale and Nanoscale Physics

Abstract

Vortex lattices are constructed in terms of linear combinations of solutions for Scr\"{o}dinger equation with a constant potential. The vortex lattices are mapped on the spaces with two-dimensional rotationally symmetric potentials by using conformal mappings and the differences of the mapped vortex-patterns are examined. The existence of vortex dipole and quadrupole is also pointed out.

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Cite

@article{arxiv.cond-mat/0104187,
  title  = {Vortex Lattices in Quantum Mechanics},
  author = {Tsunehiro Kobayashi},
  journal= {arXiv preprint arXiv:cond-mat/0104187},
  year   = {2016}
}

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13 pages