Abstract
We state the Bohr–Sommerfeld conditions around a singular value of hyperbolic type of the principal symbol of a selfadjoint semiclassical Toeplitz operator on a compact connected Riemann surface. These conditions allow the description of the spectrum of the operator in a fixed-size neighborhood of the singularity. We provide numerical computations for three examples, each associated with a different topology.
Citation
Yohann Le Floch. "Singular Bohr–Sommerfeld conditions for 1D Toeplitz operators: hyperbolic case." Anal. PDE 7 (7) 1595 - 1637, 2014. https://doi.org/10.2140/apde.2014.7.1595
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