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arXiv · 1712.06090

Trajectories of a quadratic differential related to a quasi-exactly solvable sextic oscillator

Mohamed Jalel Atia·Wafaa Karrou·Mondher Chouikhi·Faouzi Thabet
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Abstract

In this paper, we discuss the existence of solution (as Cauchy transform of a signed measure) of a particular algebraic quadratic equation of the form $\mathcal{C}^{2}\left( z\right) +r\left( z\right) \mathcal{C}\left( z\right) +s\left( z\right) =0.$ This problem remains to describe the critical graph of a related polynomial quadratic differential; in particular, we discuss the existence of finite critical trajectories of this quadratic differential.

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Mohamed Jalel Atia, Wafaa Karrou, Mondher Chouikhi, Faouzi Thabet. 2017-12-17. Trajectories of a quadratic differential related to a quasi-exactly solvable sextic oscillator. https://arxiv.org/abs/1712.06090

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