%0 Journal Article
%T Poles of Integrale Tritronquee and Anharmonic Oscillators. A WKB Approach
%A Davide Masoero
%J Mathematics
%D 2009
%I arXiv
%R 10.1088/1751-8113/43/9/095201
%X Poles of solutions to the Painleve-I equation are intimately related to the theory of the cubic anharmonic oscillator. In particular, poles of integrale tritronquee are in 1-1 correspondence with cubic oscillators that admit the simultaneous solutions of two quantization conditions. We analyze this pair of quantization conditions by means of a suitable version of the complex WKB method.
%U http://arxiv.org/abs/0909.5537v2