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High order perturbation theory for difference equations and Borel summability of quantum mirror curves
Journal of High Energy Physics
We adapt the Bender-Wu algorithm to solve perturbatively but very efficiently the eigenvalue problem of "relativistic" quantum mechanical problems whose Hamiltonians are difference operators of the exponential-polynomial type. We implement the algorithm in the function BWDifference in the updated Mathematica package BenderWu. With the help of BWDifference, we survey quantum mirror curves of toric fano Calabi-Yau threefolds, and find strong evidence that not only are the perturbativedoi:10.1007/jhep12(2017)014 fatcat:pyjczbik7zdrxjsmugydvh4dpa