Level correlations in integrable systems

Details Level correlations in integrable systems Level correlations in integrable systems

2001-10-11

arxiv.org/abs/cond-mat/0110250v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

5 pages

Scientific paper

10.1142/S0217979202014887

We derive a simple analytical expression for the level correlation function of an integrable system. It accounts for both the lack of correlations at smaller energy scales and for global rigidity (level number conservation) at larger scales. We apply our results to a rectangle with incommensurate sides and show that they are in excellent agreement with the limiting cases established in the semiclassical theory of level rigidity.

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