Reconsidering the quantisation of electrodynamics with boundary conditions and some measurable consequences
نویسنده
چکیده
We show that the commonly known conductor boundary conditions E|| = B⊥ = 0 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 E⊥ of the electric field whereas for a ’thin’ conductor E⊥ 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.
منابع مشابه
Reconsidering the quantization of electrodynamics with boundary conditions and some measurable consequences
We reconsider the quantization of electctrodynamics with conductor boundary conditions using an approach suggested earlier where the boundary conditions for the field strengths are taken as constraints for the electromagnetic potentials. We consider in detail the difference to the traditional approach where one first chooses Coulomb gauge and after that applies the boundary conditions to the po...
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