Eigenfunctions of non-integrable systems in generalised phase spaces

Abstract

The authors use the generalised coherent state distribution to study in phase space the eigenfunctions of non-integrable Hamiltonians. The methods available in the Weyl group (the Husimi distribution) are extended to the more complicated phase spaces that arise from other Lie groups. They demonstrate the feasibility of numerical calculations in two models with W2 and SU(3) symmetries, emphasising the similarities and showing the emergence of classical invariant structures in the semiclassical limit.