Irregular Dynamics in a Solvable One-Dimensional Quantum Graph

Details Irregular Dynamics in a Solvable One-Dimensional Quantum Graph Irregular Dynamics in a Solvable One-Dimensional Quantum Graph

2005-12-27

arxiv.org/abs/quant-ph/0512239v2

Phys.Lett. A356 (2006) 290-293

Physics

Quantum Physics

4 pages ReVTeX with 3 figures. Full analytical expressions for both T_N(k) and R_N(k) are included, with revised Figures

Scientific paper

10.1016/j.physleta.2006.03.070

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.

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