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Relativistic Aharonov-Casher Phase in Spin One

James A Swansson·Bruce H J McKellar
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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.

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James A Swansson, Bruce H J McKellar. 2001-01-02. Relativistic Aharonov-Casher Phase in Spin One. https://doi.org/10.1088/0305-4470%2F34%2F5%2F309

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