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

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

2005-05-02

arxiv.org/abs/cond-mat/0505050v1

J.Phys. A39 (2006) 2203-2211

Physics

Condensed Matter

Statistical Mechanics

13 pages, no figures

Scientific paper

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.

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