Complex dynamical invariants of a two dimensional classical system
DEPARTMENT OF PHYSICS, KURUKSHETRA UNIVERSITY
Department of Physics, Kurukshetra University, Kurukshetra-136 119,INDIA
Last modified: May 27, 2006
We investigate the existence of dynamical invariants for a complex Hamiltonian system
H(x,y,px,py) in two dimensions. For this purpose an interesting example is being derived and its invariant is also constructed. We consider an extended complex phase space, characterized by
x=x1+ip3; y=x2+p4; px= p1+ix3; py=p2+ix4. The Lie algebraic method has been used to construct the invariant of the system.