Jun 7 – 9, 2017
SISSA
Europe/Rome timezone

Topological recursion of Eynard-Orantin and the Harmonic Oscillator

Jun 7, 2017, 2:15 PM
40m
005 (SISSA)

005

SISSA

via Bonomea 265, 34100, Trieste, Italy

Speaker

Prof. Vasilisa Shramchenko (University of Sherbrooke)

Description

We apply the Chekhov-Eynard-Orantin topological recursion to the curve corresponding to the quantum harmonic oscillator and demonstrate that the result is equivalent to the WKB wave function. We also show that using the multi-differentials obtained by the topological recursion from the harmonic oscillator curve, one generates naturally the so-called Poincaré polynomials associated with the orbifolds of the metric ribbon graphs.

Primary author

Prof. Vasilisa Shramchenko (University of Sherbrooke)

Co-authors

Mr Miguel Cutimanco (University of Sherbrooke) Dr Patrick Labelle (Bishop's University)

Presentation materials

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