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

A. Scardicchio

Published 2005-05-02Version 1

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 $\gamma$ is related to the Casimir energy of an appropriate configuration of conductors.