English

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

Statistical Mechanics 2015-06-25 v1 High Energy Physics - Theory Mathematical Physics math.MP

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

Keywords

Cite

@article{arxiv.cond-mat/0505050,
  title  = {On the connection between Random Waves and Quantum Fields. Duality between nodal lines statistic and the Casimir energy},
  author = {A. Scardicchio},
  journal= {arXiv preprint arXiv:cond-mat/0505050},
  year   = {2015}
}

Comments

13 pages, no figures