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Vortex Lattices in Quantum Mechanics

Vortex lattices are constructed in terms of linear combinations of solutions for Scrödinger 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.

preprint2001arXivOpen access
Tsunehiro Kobayashi
cond-mat.mes-hallcond-mat.supr-con
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Tsunehiro Kobayashi

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