Beyond the Heisenberg time: Semiclassical treatment of spectral   correlations in chaotic systems with spin 1/2
  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. 
Petr Braun
nlin.CD