### Abstract

The nonrelativistic propagator is derived by formulating the generalized Aharonov-Bohm effect, valid for any gauge group in a general multiply connected manifold, as a gauge artifact in the universal covering space. The loop phase factors and the free homotopy propagators arise naturally. An explicit expression for the propagator when there are two solenoids present is given.

Original language | English |
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Pages (from-to) | 1154-1157 |

Number of pages | 4 |

Journal | Journal of Mathematical Physics |

Volume | 29 |

Issue number | 5 |

DOIs | |

Publication status | Published - 1988 Jan 1 |

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### All Science Journal Classification (ASJC) codes

- Statistical and Nonlinear Physics
- Mathematical Physics

### Cite this

*Journal of Mathematical Physics*,

*29*(5), 1154-1157. https://doi.org/10.1063/1.527957

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*Journal of Mathematical Physics*, vol. 29, no. 5, pp. 1154-1157. https://doi.org/10.1063/1.527957

**The propagator in the generalized Aharonov-Bohm effect.** / Oh, C. H.; Soo, Cho-Pin; Lai, C. H.

Research output: Contribution to journal › Article

TY - JOUR

T1 - The propagator in the generalized Aharonov-Bohm effect

AU - Oh, C. H.

AU - Soo, Cho-Pin

AU - Lai, C. H.

PY - 1988/1/1

Y1 - 1988/1/1

N2 - The nonrelativistic propagator is derived by formulating the generalized Aharonov-Bohm effect, valid for any gauge group in a general multiply connected manifold, as a gauge artifact in the universal covering space. The loop phase factors and the free homotopy propagators arise naturally. An explicit expression for the propagator when there are two solenoids present is given.

AB - The nonrelativistic propagator is derived by formulating the generalized Aharonov-Bohm effect, valid for any gauge group in a general multiply connected manifold, as a gauge artifact in the universal covering space. The loop phase factors and the free homotopy propagators arise naturally. An explicit expression for the propagator when there are two solenoids present is given.

UR - http://www.scopus.com/inward/record.url?scp=0007025998&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0007025998&partnerID=8YFLogxK

U2 - 10.1063/1.527957

DO - 10.1063/1.527957

M3 - Article

AN - SCOPUS:0007025998

VL - 29

SP - 1154

EP - 1157

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

SN - 0022-2488

IS - 5

ER -