1207.0012 (Alejandro M. F Rivas)

Semiclassical Coherent states path integrals    [PDF]

Alejandro M. F Rivas

We have obtained a semiclassical approximation of the matrix elements of a quantum propagator for coherent sates basis, for that propose we have used the symplectically invariant Weyl representation of the propagator and gone beyond the common stationary phase approximation. The comparison with a \textquotedbl{}realistic\textquotedbl{} chaotic system that derives from a quadratic Hamiltonian, the cat map, reveals that the expression here derived is exact up to quadratic Hamiltonian systems.

View original: http://arxiv.org/abs/1207.0012