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Irregular Dynamics in a Solvable One-Dimensional Quantum Graph

Pavel Hejcik·Taksu Cheon
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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.

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Pavel Hejcik, Taksu Cheon. 2006-03-23. Irregular Dynamics in a Solvable One-Dimensional Quantum Graph. https://doi.org/10.1016/j.physleta.2006.03.070

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