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

作者:Braun Petr*
来源:Journal of Physics A-Mathematical and Theoretical, 2012, 45(4): 045102.
DOI:10.1088/1751-8113/45/4/045102

摘要

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.

  • 出版日期2012-2-3