A superintegrable system is a classical or quantum system that has more integrals of motion than degrees of freedom. An exactly solvable quantum system is one for which the energy spectrum can be calculated algebraically and the wave functions are polynomials in the appropriate variables, multiplied by some overall gauge factor. Integrable and superintegrable systems with integrals that are polynomials in the momenta can be characterized by the highest order of these polynomials (not counting the Hamiltonian). First order integrals are related to Lie groups of point transformations (geometric symmetries). Higher order ones involve generalized symmetries and canonical transformations. Second order integrals are related to the separation of variables in the Hamilton-Jacobi and Schroedinger equations. Recently there has been significant progress in the study of k-th order superintegrability (for arbitrary integer k). The aim of the gathering is to explore the avenues opened by these recent developments and the relation between superintegrability, exact solvability and canonical transformations.
List of Participants
|Guesthouse Address:||CiC (Centro Internacional de Ciencias)||In case of emergency:|
|Calle Plutarco Elias Calles #20||Avenida Universidad 1001||Cinzia Ocampo|
|Colonia del Club de Golf||Campus UEAM-UNAM||and/or|
|Cuernavaca, Morelos||Tel. +52 (777) 329-1877/6||Marco V. José|
|Tel: 312 99 13||Beside the "Instituto de Biotecnologia"||Tel: +52 (777) 329 18 77|
|(dos cuadras al sur al sur de la|
|Comercial Mexicana de av. Morelos|
|Sur. ) This information is for the|
|taxi driver if needed.|
Please, visit this site regularly as dates and participants may change. We will do our best to keep the information up to date. If you may have interest in participate in this gathering, please contact CiC.