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)

In the case of two degrees of freedom we consider pairs of commuting Hamiltonians quadratic in momenta p1, p2 with coefficients being analytic functions of coordinates q1, q2. A general formula for the action function for any such a pair is proposed. New examples of such pairs are presented.