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titolo
04/05/15 Seminario Prof. Winternitz
target
totem,dipartimento,ppim
inizio
Lunedì 04 Maggio 2015 ore 13:00
luogo
aula A3, p.3 Dip. Matematica e Inf.
relatore
Prof. Pavel Winternitz (Univ. Montreal, Canada)
titoloevento
General Nth order integrals of the motion in classical and quantum mechanics
abstract

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.

people
Tutti gli interessati sono cordialmente invitati.
organizzatori
Prof.ssa Maria Clara Nucci (UniPG)
note