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arXiv · 2502.18544

Missing Aharonov-Casher geometric quantum phase

K. Bakke·C. Furtado
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Abstract

From the interaction of the permanent magnetic dipole moment of a neutral particle with an electric field inside a long non-conducting cylindrical shell of inner radius $r_{a}$ and outer radius $r_{b}$, we show that a geometric quantum phase stems from the missing electric charge per unit length. Thus, we discuss the possibility of existing Aharonov-Bohm-type effects with regard to this geometric quantum phase. Further, we discuss the persistent spin currents.

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K. Bakke, C. Furtado. 2025-02-25. Missing Aharonov-Casher geometric quantum phase. https://doi.org/10.1103/physreva.110.062213

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