Scalar Field Fluctuations between Parallel Plates

Details Scalar Field Fluctuations between Parallel Plates Scalar Field Fluctuations between Parallel Plates

2004-08-26

arxiv.org/abs/quant-ph/0408163v2

Physics

Quantum Physics

10 pages, no figures; added references

Scientific paper

Quantum fluctuations of a scalar field and its derivatives are calculated when the field is confined between two parallel plates satisfying Dirichlet or Neumann boundary conditions. After regulation these fluctuations diverge in general when one approaches one of the plates. The energy density and the pressure between the plates is only consistent with the total Casimir energy when the canonical energy-momentum tensor is augmented by the Huggins term so to satisfy the requirement of conformal invariance for a massless, scalar field.

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