Nonlinear Sciences – Chaotic Dynamics
Scientific paper
2011-10-20
Nonlinear Sciences
Chaotic Dynamics
Scientific paper
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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