On the level spacing distribution in quantum graphs
arXiv:quant-ph/0011099 · doi:10.1023/A:1026495012522
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.
33 pages and 11 figures