04/05/15 Seminario Prof. Winternitz

Lun, 04/05/2015 - 13:00
aula A3, p.3 Dip. Matematica e Inf.
Prof. Pavel Winternitz (Univ. Montreal, Canada)
General Nth order integrals of the motion in classical and quantum mechanics
Abstract o sommario: 
The general form of an integral of motion that is a polynomial of order N in the momenta is presented for a Hamiltonian system in two-dimensional Euclidean space. The classical and the quantum cases are treated separately, emphasizing both the similarities and the differences between the two. The main application will be to study Nth order superintegrable systems that allow separation of variables in the Hamilton-Jacobi and Schrodinger equations, respectively. So far the study of superintegrable systems with third and fourth order integrals has led to quantum superintegrable systems with "exotic" potentials expressed in terms of Painleve' transcendents or solutions of 4th order ODEs with the Painleve property. Higher values of N should lead to families of higher order ODEs and the corresponding higher Painleve' functions. This is joint work with Sarah Post.
Persone interessate: 
Tutti gli interessati sono cordialmente invitati.
Prof.ssa Maria Clara Nucci (UniPG)
Varie ed eventuali: 
News del DMI: http://www.dmi.unipg.it/node/1327