Abstract
We show that the commonly known conductor boundary conditions can be realized in two ways which we call “thick” and “thin” conductor. The thick conductor is the commonly known approach and includes a Neumann condition on the normal component of the electric field whereas for a thin conductor remains without boundary condition. Both types describe different physics already on the classical level where a thin conductor allows for an interaction between the normal components of currents on both sides. On quantum level different forces between a conductor and a single electron or a neutral atom result. For instance, the Casimir-Polder force for a thin conductor is by about 13% smaller than for a thick one.
- Received 22 March 2004
DOI:https://doi.org/10.1103/PhysRevD.70.085010
©2004 American Physical Society