Metaplectic sheets and caustic traversals in the Weyl representation
Metaplectic sheets and caustic traversals in the Weyl representation
The quantum Hamiltonian generates in time a family of evolution operators. Continuity of this family holds within any choice of representation and, in particular, for the Weyl propagator, even though its simplest semiclassical approximation may develop caustic singularities. The phase jumps of the Weyl propagator across caustics have not been …