English

On the level spacing distribution in quantum graphs

Quantum Physics 2015-06-26 v1 Condensed Matter Chaotic Dynamics

Abstract

We derive a formula for the level spacing probability distribution in quantum graphs. We apply it to simple examples and we discuss its relation with previous work and its possible application in more general cases. Moreover, we derive an exact and explicit formula for the level spacing distribution of integrable quantum graphs.

Keywords

Cite

@article{arxiv.quant-ph/0011099,
  title  = {On the level spacing distribution in quantum graphs},
  author = {F. Barra and P. Gaspard},
  journal= {arXiv preprint arXiv:quant-ph/0011099},
  year   = {2015}
}

Comments

33 pages and 11 figures