THE CASIMIR ENERGY FOR TWO AND THREE LAYER OF GRAPHENS

Khusnutdinov N. R., Kashapov R. N.

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The Casimir energy of system of parallel conductive planes with constant conductivity is considered. General form of the Casimir energy for two and three planes is obtained. For the case of equal interplane distances the energy is proportional to inverse third power of distance. For small conductivity the energy does not depend on the Planck constant and velocity of light. The Casimir energy of planes with ideal conductivity is the sum of the Casimir energy of the neighboring planes.

Keywords: Casimir energy, zeta-function, zero point energy, graphene

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Issue: 12, 2014

Series of issue: Issue 12

Pages: 135 — 138

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