Marek Kus
Center for Theoretical Physics, Polish Academy of Sciences, Al. Lotnikow
32/46, 02-668 Warszawa, Poland
E-mail: marek@cft.edu.pl

Exactly linearizable maps and SU(n) coherent states

Abstract:
Classical linear maps associated with quantum maps are investigated. It is demonstrated that with help of SU(n) coherent states SU(n) tensors fulfilling nonlinear identities can be constructed. It is shown that it is possible, using these nonlinear identities, to define nonlinear maps which evolve like linear maps if initial conditions lie on a manifold which is explicitely given. Analogy with KAM theorem is also discussed.