## Abstract

Every energy level of a charged quantum particle confined in a region threaded by a magnetic flux line with quantum flux one-half must be degenerate for some position of the semifluxon within the boundary B. This is illustrated by computations for which B is a circle and a conformal transformation of a circle without symmetry. As the shape of B is varied, two degeneracies between the same pair of levels can collide and annihilate. Degeneracy of three levels requires three shape parameters, or the positions of three semifluxons; degeneracy of N levels can be generated by int{N(N + 1)/4} semifluxons. The force on the semifluxon is derived.

Translated title of the contribution | Semifluxon degeneracy choreography in Aharonov-Bohm billiards |
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Original language | English |

Pages (from-to) | 354005-1 - 354005-11 |

Number of pages | 11 |

Journal | Journal of Physics A: Mathematical and Theoretical |

Volume | 43 |

DOIs | |

Publication status | Published - Aug 2010 |