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Exactly Solvable Anharmonic Oscillator, Degenerate Orthogonal Polynomials and Painlevé II

Author(s): Bertola M; Chavez-Heredia E; Grava T;

Using WKB analysis, the paper addresses a conjecture of Shapiro and Tater on the similarity between two sets of points in the complex plane; on one side is the set the values of t ∈ C for which the spectrum of the quartic anharmonic oscillator in the complex plane d 2 y d x 2 - x 4 + t x 2 + 2 J x y = Λ y , with certain boundar ...

Article GUID: 38983592


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