Semiclassical analysis of constrained quantum systems
Dell'Antonio, G. F. ; Tenuta, L.
arXiv, 0312034 / Harvested from arXiv
Text on arXiv
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.
Publié le : 2003-12-11
Classification:  Mathematical Physics,  Quantum Physics 
@article{0312034,
     author = {Dell'Antonio, G. F. and Tenuta, L.},
     title = {Semiclassical analysis of constrained quantum systems},
     journal = {arXiv},
     volume = {2003},
     number = {0},
     year = {2003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0312034}
}

Dell'Antonio, G. F.; Tenuta, L. Semiclassical analysis of constrained quantum systems. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0312034/