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Fourth order superintegrable systems separating in Polar Coordinates

por el

Dr. Juan Carlos López  Vieyra

Instituto de Ciencias Nucleares - UNAM


Resumen:
We present all real quantum mechanical potentials in a two-dimensional
Euclidean space that have the following properties: 1. They allow
separation of variables of the Schroedinger equation in polar
coordinates, 2. They allow an independent fourth order integral of
motion, 3. Their angular dependent part S(\theta) satisfies a
nonlinear ODE that has the Painlevé property and its solutions can
be expressed in terms of the Painlevé transcendent P_6. We also
study the corresponding classical analogs of these potentials.  The
polynomial algebra of the integrals of motion is constructed in the
quantum and classical cases.

Miércoles 22 de noviembre, 2017
5:00 p.m.
Salón 203, Edificio Anexo, IIMAS, UNAM

Informes: coloquiomym@gmail.com, o al 5622-3564.