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Session III.7 - Special Functions and Orthogonal Polynomials

Monday, June 19, 14:00 ~ 14:30

Anharmonic oscillators, repeated eigenvalues and Painleve' equations

Tamara Grava

SISSA/University of Bristol, Italy/UK   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

We study the set of double eigenvalues of a one parameter family of quartic/sextic anharmonic oscillators and we show that, under suitable rescaling, they behave as the poles of rational solutions of Painleve' equations.

Joint work with 1. Marco Bertola and Eduardo Chavez Heredia and 2. Marco Bertola and Dmitry Rachenkov.

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