Geometrical properties of Maslov indices in the semiclassical trace formula for the density of states.

@article{Creagh1990GeometricalPO,
  title={Geometrical properties of Maslov indices in the semiclassical trace formula for the density of states.},
  author={Creagh and Robbins and Littlejohn},
  journal={Physical review. A, Atomic, molecular, and optical physics},
  year={1990},
  volume={42 4},
  pages={
          1907-1922
        }
}
We show that in the trace formula of Gutzwiller (J. Math. Phys. 8, 1979 (1967); 10, 1004 (1969); 11, 1791 (1970); 12, 343 (1971)) and Balian and Bloch (Ann. Phys. (N.Y.) 60, 401 (1970); 63, 592 (1971); 69, 76 (1972); 85, 514 (1974)), applied to systems of two degrees of freedom, the Maslov index arising in the contribution from each periodic orbit is equal to twice the number of times the stable and unstable manifolds wind around the periodic orbit. As a consequence, we find that the Maslov… CONTINUE READING

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Fedoriuk, Semi-Classical Approximation in Quantum Mechanics (Reidel

M.V.V.P. Maslov
  • 1981