Relativistic Aharonov-Casher Phase in Spin One

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.

12 pages

References in corpus (2)

• The Electromagnetic Coupling in Kemmer-Duffin-Petiau Theory
• Theoretical and Experimental K^+ + Nucleus Total and Reaction Cross Sections from the KDP-RIA Model

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• Lorentz-violating extension of the spin-one Duffin-Kemmer-Petiau equation
• Splitting frequency of the (2+1)-dimensional Duffin-Kemmer-Petiau oscillator in an external magnetic field
• Test of the He-McKellar-Wilkens topological phase by atom interferometry. Part I: theoretical discussion
• The He-McKellar-Wilkens effect for spin one particles in non-commutative quantum mechanics
• Magnetic Properties of Scalar Particles --The Scalar Aharonov-Casher Effect and Supersymmetry