Poles of Integrale Tritronquee and Anharmonic Oscillators. A WKB Approach
classification
🧮 math.CA
hep-thmath-phmath.MP
keywords
polesanharmonicconditionscubicintegraleoscillatorsquantizationsolutions
read the original abstract
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.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.