Event
Libor Snobl, Czech Technical University, Prague
Tuesday, September 5, 2017 15:30to16:30
Superintegrable 3D systems in a magnetic field corresponding to Cartesian separation of variables
We consider three dimensional superintegrable systems in a magnetic field. We study the class of such systems which separate in Cartesian coordinates in the limit when the magnetic field vanishes, i.e. they possess two second order integrals of motion of the 鈥淐artesian type鈥�. For such systems we look for additional integrals up to second order in momenta which make these systems minimally or maximally superintegrable and study the corresponding trajectories. We observe that the leading structure terms of the Cartesian type integrals should be considered in a more general form than for the case without magnetic field. (Joint work with Antonella Marchesiello)We consider three dimensional superintegrable systems in a magnetic field. We study the class of such systems which separate in Cartesian coordinates in the limit when the magnetic field vanishes, i.e. they possess two second order integrals of motion of the 鈥淐artesian type鈥�. For such systems we look for additional integrals up to second order in momenta which make these systems minimally or maximally superintegrable and study the corresponding trajectories. We observe that the leading structure terms of the Cartesian type integrals should be considered in a more general form than for the case without magnetic field. (Joint work with Antonella Marchesiello)
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Seminar Physique Math茅matique
CRM, UdeM, Pavillon Andr茅-Aisenstadt, 2920, ch. de la Tour, salle 4336