1 Department of Physics and Astronomy, University of South Carolina, Columbia, SC 29208, USA / Physics Department, Tel Aviv University, Tel Aviv, Israel / University of California, Berkeley CA 94720, USA
2 Department of Physics and Astronomy, University of South Carolina, Columbia, SC 29208, USA
The interaction between a long solenoid and a quantized charged particle in the field free region outside it is studied treating both systems quantum mechanically. This leads to a paradox which suggests that when the electromagnetic field is quantized, there may be a preferred quantum gauge for the vector potential. This paradox is resolved by canonically quantizing the system in a different gauge in which the classical Lagrangian contains an acceleration dependent term.
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A Journal of Physical Sciences: Zeitschrift für Naturforschung A (ZNA) is an international scientific journal which publishes original research papers from all areas of experimental and theoretical physics. In accordance with the name of the journal, which means “Journal for Natural Sciences”, manuscripts submitted to ZNA should have a tangible connection to actual physical phenomena.