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arXiv 0909.5537math.CAhep-thmath-phmath.MP
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Poles of Integrale Tritronquee and Anharmonic Oscillators. A WKB Approach

Davide Masoero

英文摘要:

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.

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