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arXiv · 1110.4567

Beyond the Heisenberg time: Semiclassical treatment of spectral correlations in chaotic systems with spin 1/2

Petr Braun
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Abstract

The two-point correlation function of chaotic systems with spin 1/2 is evaluated using periodic orbits. The spectral form factor for all times thus becomes accessible. Equivalence with the predictions of random matrix theory for the Gaussian symplectic ensemble is demonstrated. A duality between the underlying generating functions of the orthogonal and symplectic symmetry classes is semiclassically established.

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Petr Braun. 2011-10-20. Beyond the Heisenberg time: Semiclassical treatment of spectral correlations in chaotic systems with spin 1/2. https://doi.org/10.1088/1751-8113%2F45%2F4%2F045102

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