On the level spacing distribution in quantum graphs

Authors
Barra, F Gaspard, P
Citation
F. Barra et P. Gaspard, On the level spacing distribution in quantum graphs, J STAT PHYS, 101(1-2), 2000, pp. 283-319
Citations number
13
Categorie Soggetti
Physics
Journal title
JOURNAL OF STATISTICAL PHYSICS
ISSN journal
00224715 → ACNP
Volume
101
Issue
1-2
Year of publication
2000
Pages
283 - 319
Database
ISI
SICI code
0022-4715(200010)101:1-2<283:OTLSDI>2.0.ZU;2-S
Abstract
We derive a formula for the level spacing probability distribution in quant um 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.