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On the connection between Random Waves and Quantum Fields. Duality between nodal lines statistic and the Casimir energy

A. Scardicchio
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Abstract

Using the statistical description common to random waves and quantum fields we show how the probability of having a nodal line close to a (translationally symmetric) reference curve $γ$ is related to the Casimir energy of an appropriate configuration of conductors.

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A. Scardicchio. 2005-05-02. On the connection between Random Waves and Quantum Fields. Duality between nodal lines statistic and the Casimir energy. https://doi.org/10.1088/0305-4470%2F39%2F9%2F014

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