Quantum Monodromy and nonconcentration near a closed semi-hyperbolic orbit
Quantum Monodromy and nonconcentration near a closed semi-hyperbolic orbit
For a large class of semiclassical operators $P(h)-z$ which includes Schrödinger operators on manifolds with boundary, we construct the Quantum Monodromy operator $M(z)$ associated to a periodic orbit $\gamma$ of the classical flow. Using estimates relating $M(z)$ and $P(h)-z$, we prove semiclassical estimates for small complex perturbations of $P(h) -z$ …