Spectral Fluctuations of Quantum Graphs

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F14%3A10287941" target="_blank" >RIV/00216208:11320/14:10287941 - isvavai.cz</a>

Result on the web

<a href="http://dx.doi.org/10.1063/1.4899227" target="_blank" >http://dx.doi.org/10.1063/1.4899227</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1063/1.4899227" target="_blank" >10.1063/1.4899227</a>

Result language

angličtina

Original language name

Spectral Fluctuations of Quantum Graphs

Original language description

We prove the Bohigas-Giannoni-Schmit conjecture in its most general form for completely connected simple graphs with incommensurate bond lengths. We show that for graphs that are classically mixing (i.e., graphs for which the spectrum of the classical Perron-Frobenius operator possesses a finite gap), the generating functions for all (P, Q) correlation functions for both closed and open graphs coincide (in the limit of infinite graph size) with the corresponding expressions of random-matrix theory, bothfor orthogonal and for unitary symmetry.

Czech name

—

Czech description

—

Type

D - Article in proceedings

CEP classification

BG - Nuclear, atomic and molecular physics, accelerators

OECD FORD branch

—

Project

<a href="/en/project/GA13-07117S" target="_blank" >GA13-07117S: Statistical approaches to quantum many-body systems</a><br>

Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2014

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection

AIP Conference Proceedings

ISBN

978-0-7354-1256-9

ISSN

0094-243X

e-ISSN

—

Number of pages

3

Pages from-to

135-137

Publisher name

AMER INST PHYSICS

Place of publication

MELVILLE

Event location

East Lansing

Event date

May 5, 2014

Type of event by nationality

WRD - Celosvětová akce

UT code for WoS article

000345962700015