English

Relativistic Aharonov-Casher Phase in Spin One

Quantum Physics 2009-11-06 v2

Abstract

The Aharonov-Casher (AC) phase is calculated in relativistic wave equations of spin one. The AC phase has previously been calculated from the Dirac-Pauli equation using a gauge-like technique \cite{MK1,MK2}. In the spin-one case, we use Kemmer theory (a Dirac-like particle theory) to calculate the phase in a similar manner. However the vector formalism, the Proca theory, is more widely known and used. In the presence of an electromagnetic field, the two theories are `equivalent' and may be transformed into one another. We adapt these transformations to show that the Kemmer theory results apply to the Proca theory. Then we calculate the Aharonov-Casher phase for spin-one particles directly in the Proca formalism.

Cite

@article{arxiv.quant-ph/0007118,
  title  = {Relativistic Aharonov-Casher Phase in Spin One},
  author = {James A Swansson and Bruce H J McKellar},
  journal= {arXiv preprint arXiv:quant-ph/0007118},
  year   = {2009}
}

Comments

12 pages

R2 v1 2026-07-22T19:28:26.501Z