Exact quasiclassical asymptotics beyond Maslov canonical operator
  The main purpose of this paper is to calculate exact quasiclassical asymptotic of the quantum averages without any reference to the corresponding quasiclassical asimptotic of the Schr\"odinger wave function {\Psi}(x,t)given via Maslov canonical operator. We suggest a new asymptotic representation for the quantum averages with position variable with localized initial data. 
J. Foukzon, A. A. Potapov, S. A. Podosenov
math.GM