G.F. Dell'Antonio, L. Tenuta
Semiclassical analysis of constrained quantum systems
(295K, Postscript)

ABSTRACT.  We study the dynamics of a quantum particle in R^(n+m) constrained by a strong potential force to stay within a distance of order 
hbar (in suitable units) from a smooth n-dimensional submanifold M. We prove that in the semiclassical limit the evolution of the 
wave function is approximated in norm, up to terms of order hbar^(1/2), by the evolution of a semiclassical wave packet centred on the 
trajectory of the corresponding classical constrained system.