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arXiv · 1002.1042

Poles of Integrale Tritronquee and Anharmonic Oscillators. Asymptotic localization from WKB analysis

Davide Masoero·Vera De Benedetti
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Abstract

Poles of integrale tritronquee are in bijection with cubic oscillators that admit the simultaneous solutions of two quantization conditions. We show that the poles lie near the solutions of a pair of Bohr-Sommerfeld quantization conditions (the Bohr-Sommerfeld-Boutroux system): the distance between a pole and the corresponding solution of the Bohr-Sommerfeld-Boutroux system vanishes asymptotically.

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Davide Masoero, Vera De Benedetti. 2010-07-07. Poles of Integrale Tritronquee and Anharmonic Oscillators. Asymptotic localization from WKB analysis. https://doi.org/10.1088/0951-7715%2F23%2F10%2F008

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