# Manchester Geometry Seminar 2006/2007

**19 October 2006. ** *Room M12,
Mathematics and Social Sciences building, Sackville Street. 4pm*
## Pair of Commuting Hamiltonians Quadratic in Momenta

Vladimir Sokolov (Landau Institute for Theoretical Physics)

`sokolov@itp.ac.ru`

In the case of two degrees of freedom we consider pairs of commuting Hamiltonians quadratic in momenta p_{1}, p_{2} with coefficients being analytic functions of coordinates q_{1}, q_{2}. A general formula for the action function for any such a pair is proposed. New examples of such pairs are presented.