Irregular Dynamics in a Solvable One-Dimensional Quantum Graph
classification
🪐 quant-ph
cond-mat.dis-nnhep-phmath-phmath.MPnlin.CDphysics.atom-ph
keywords
dynamicsone-dimensionalquantumamplitudesargueassociatedboundcharacteristics
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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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