TY - JOUR
T1 - Semiclassical analysis of constrained quantum systems
JF - J. Phys. A 37 (2004) 5605-5624
Y1 - 2004
A1 - Gianfausto Dell'Antonio
A1 - Lucattilio Tenuta
AB - 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.
PB - IOP Publishing
UR - http://hdl.handle.net/1963/2997
U1 - 1336
U2 - Mathematics
U3 - Mathematical Physics
ER -