TITLE
	Interaction of two charges in a magnetic field
	
AUTHOR
	Diogo PINHEIRO - joint work with R.S. MacKay (University of Warwick)

ABSTRACT 
	The interaction of two charges moving in R2 in a constant magnetic field can be 
	formulated as an Hamiltonian system with 4 degrees of freedom. We prove that we can 
	always reduce this Hamiltonian system to one with 2 degrees of freedom and that, for 
	certain values of the conserved quantities and choices of parameters we obtain an 
	integrable system. Then we proceed to an analysis of the behaviour of the reduced 
	system in order to obtain information about the dynamics of the initial 4 degrees of 
	freedom system.