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quant-ph2009★ 3 cited
Comparing periodic-orbit theory to perturbation theory in the asymmetric infinite square well
Todd K. Timberlake
An infinite square well with a discontinuous step is one of the simplest systems to exhibit non-Newtonian ray-splitting periodic orbits in the semiclassical limit. This system is a…
quant-ph2007★ 4 cited
Is there quantum chaos in the prime numbers?
Todd Timberlake, Jeffery Tucker
A statistical analysis of the prime numbers indicates possible traces of quantum chaos. We have computed the nearest neighbor spacing distribution, number variance, skewness, and e…