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Periodic Orbit Maslov Indices for Systems with Time- Reversal Symmetry

Foxman, J.A.; Robbins, J.M.


Keyword(s): Maslov indices; time-reversal; spectral statistics

Abstract: We show that in time-reversal invariant systems, a pair of periodic orbits related by time-reversal have the same Maslov index. Previously this result had been implicitly assumed in the semiclassical derivation of the Gaussian Orthogonal Ensemble (GOE) spectral form factor.

5 Pages

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