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On the interaction of a charge with a plasma sheet

On the interaction of a charge with a plasma sheet. M. Bordag (University of Leipzig). arXiv0704.3845v1 [quant-ph], Phys.Rev.D, to appear. Motivation. Call it: thick boundary conditions. Call it: thin boundary conditions. Heuristic explanation:

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On the interaction of a charge with a plasma sheet

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  1. On the interaction of a charge with a plasma sheet M. Bordag (University of Leipzig) arXiv0704.3845v1 [quant-ph], Phys.Rev.D, to appear

  2. Motivation

  3. Call it: thick boundary conditions

  4. Call it: thin boundary conditions

  5. Heuristic explanation: • Thick boundary conditions apply if there is a conducting bulk behind the surface enforcing the normal component of the electric field to vanish too • Thin boundary conditions are not applicable to real conductors because of their finite thickness • Question: is there a physical situation where thin boundary conditions could apply? Plasma shell model Answer: yes

  6. g_3 g_TM g_TE

  7. Conclusions • Now there is a physical realization for ‘thin’ boundary conditions • The reduced Casimir-Polder force is reproduced • The origin of the discrepancy with the standard treatment is still unclear • There should be a smooth transition from a bulk conductor to a thin one • (assuming a regularization like the plasma shell is present)

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