We show that the quantum single particle motion on a one-dimensional line
with Fulop-Tsutsui point interactions exhibits characteristics usually
associated with nonintegrable systems both in bound state level statistics and
scattering amplitudes. We argue that this is a reflection of the underlying
stochastic dynamics which persists in classical domain.
Publié le : 2005-12-27
Classification:
Quantum Physics,
Condensed Matter - Disordered Systems and Neural Networks,
High Energy Physics - Phenomenology,
Mathematical Physics,
Nonlinear Sciences - Chaotic Dynamics,
Physics - Atomic Physics
@article{0512239,
author = {Hejcik, Pavel and Cheon, Taksu},
title = {Irregular Dynamics in a Solvable One-Dimensional Quantum Graph},
journal = {arXiv},
volume = {2005},
number = {0},
year = {2005},
language = {en},
url = {http://dml.mathdoc.fr/item/0512239}
}
Hejcik, Pavel; Cheon, Taksu. Irregular Dynamics in a Solvable One-Dimensional Quantum Graph. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0512239/