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arxiv: gr-qc/0107075 · v1 · submitted 2001-07-23 · 🌀 gr-qc · hep-th· math-ph· math.MP

Quantum Inequalities for the Electromagnetic Field

classification 🌀 gr-qc hep-thmath-phmath.MP
keywords quantumfunctioninequalitydevelopedelectromagneticfieldspacetimearbitrary
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A quantum inequality for the quantized electromagnetic field is developed for observers in static curved spacetimes. The quantum inequality derived is a generalized expression given by a mode function expansion of the four-vector potential, and the sampling function used to weight the energy integrals is left arbitrary up to the constraints that it be a positive, continuous function of unit area and that it decays at infinity. Examples of the quantum inequality are developed for Minkowski spacetime, Rindler spacetime and the Einstein closed universe.

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