Probability current tornado loops in three-dimensional scattering

We consider scattering of a three-dimensional particle on a finite family of δ potentials. For some parameter values the scattering wavefunctions exhibit nodal lines in the form of closed loops, which may touch but do not entangle. The corresponding probability current forms vortical singularities a...

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Bibliographic Details
Published in:Physics letters. A Vol. 245; no. 1; pp. 35 - 39
Main Authors: Exner, P., Šeba, P.
Format: Journal Article
Language:English
Published: Elsevier B.V 10-08-1998
Online Access:Get full text
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Summary:We consider scattering of a three-dimensional particle on a finite family of δ potentials. For some parameter values the scattering wavefunctions exhibit nodal lines in the form of closed loops, which may touch but do not entangle. The corresponding probability current forms vortical singularities around these lines; if the scattered particle is charged, this gives rise to magnetic flux loops in the vicinity of the nodal lines. The conclusions extend to scattering on hard obstacles or smooth potentials.
ISSN:0375-9601
1873-2429
DOI:10.1016/S0375-9601(98)00366-1