Semiclassical evolution of correlations between observables
Alfredo Ozorio de Almeida, Centro brasileiro de pesquisas físicas
The kernel for the evolution of multiple quantum correlations between observables within the Weyl representation can be mapped onto the trace of a single continous family of compound unitary operators. Thus the semiclassical limit of this kernel can be ascribed to the periodic orbits of a corresponding family of classical compound canonical transformations, in the celebrated manner of Gutzwiller. Breaking these periodic orbits, leads to an initial value alternative that avoids both the search for orbits and singularities at caustics or bifurcations.