Irregular Dynamics in a Solvable One-Dimensional Quantum Graph
Quantum Physics
2016-09-08 v2 Disordered Systems and Neural Networks
High Energy Physics - Phenomenology
Mathematical Physics
math.MP
Chaotic Dynamics
Atomic Physics
Abstract
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.
Cite
@article{arxiv.quant-ph/0512239,
title = {Irregular Dynamics in a Solvable One-Dimensional Quantum Graph},
author = {Pavel Hejcik and Taksu Cheon},
journal= {arXiv preprint arXiv:quant-ph/0512239},
year = {2016}
}
Comments
4 pages ReVTeX with 3 figures. Full analytical expressions for both T_N(k) and R_N(k) are included, with revised Figures