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Irregular Dynamics in a Solvable One-Dimensional Quantum Graph (2005)

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

Publication details
Download http://arxiv.org/abs/quant-ph/0512239
Repository arXiv (United States)
Keywords Quantum Physics, Condensed Matter - Disordered Systems and Neural Networks, High Energy Physics - Phenomenology, Mathematical Physics, Nonlinear Sciences - Chaotic Dynamics, Physics - Atomic Physics
Type text