@article {2004, title = {Semiclassical analysis of constrained quantum systems}, journal = {J. Phys. A 37 (2004) 5605-5624}, number = {arXiv.org;math-ph/0312034v2}, year = {2004}, publisher = {IOP Publishing}, 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.}, doi = {10.1088/0305-4470/37/21/007}, url = {http://hdl.handle.net/1963/2997}, author = {Gianfausto Dell{\textquoteright}Antonio and Lucattilio Tenuta} }