Quantum-classical correspondence for local density of states and   eigenfunctions of a chaotic periodic billiard
  Classical-quantum correspondence for conservative chaotic Hamiltonians is investigated in terms of the structure of the eigenfunctions and the local density of states, using as a model a 2D rippled billiard in the regime of global chaos. The influence of the observed localized and sparsed states in the quantum-classical correspondence is discussed. 
G. A. Luna-Acosta, J. A. Mendez-Bermudez and F. M. Izrailev