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Masoumeh Sajedi, Universit茅 de Montr茅al

Tuesday, October 11, 2016 15:30to16:30
Room 4336, Pavillon Andr茅-Aisenstadt, 2920, Chemin de la tour, 5th floor, Montreal, QC, H3T 1J4, CA

Fourth order superintegrable quantum systems and Painlev茅 transcendents.

We consider two-dimensional quantum Superintegrable Hamiltonians with separation of variables in Cartesian coordinates. We focus on systems that allow fourth-order integrals of motion, also potentials satisfying nonlinear ODEs with the Painlev茅 property. We classify all potentials expressed in terms of Painlev茅 transcendents and their integrals.pav

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