Physics and Numbers, at the Centro di Ricerca Matematica Ennio De Giorgio of the Scuola Normale Superiore in Pisa, we explain the origin of resurgent trans-series in the Mathieu equation spectral problem, using uniform WKB and all-orders (exact) WKB. Exact quantization conditions naturally arise,...
V. P. Maslov, Complex WKB method for Nonlinear Equations [in Russian], Nauka, Moscow (1977).Maslov, V.P. The complex WKB method for nonlinear equations. 1. Linear theory. Birkhauser, Bassel, 1994.V.P. Maslov, The complex WKB method for nonlinear equations I , Birkhauser Verlag, Basel,...
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WKB-Approximations from the Perturbation Theory ViewpointIn this work analogs of the classical WKB-approximation theorems covering nonsmooth, rapidly growing and oscillating potentials are obtained.doi:10.1007/978-3-0348-7306-2_11N.A. Chernyavskaya...