G F Dell'Antonio and L Tenuta 2004 J. Phys. A: Math. Gen. 37 5605 doi:10.1088/0305-4470/37/21/007
G F Dell'Antonio1 and L Tenuta2
Show affiliationsWe study the dynamics of a quantum particle in
constrained by a strong potential force to stay within a distance of order
(in suitable units) from a smooth n-dimensional submanifold M. We prove that in the semiclassical limit the evolution of the wavefunction is approximated in norm, up to terms of order
1/2, by the evolution of a semiclassical wave packet centred on the trajectory of the corresponding classical constrained system.
03.65.Sq Semiclassical theories and applications
81Q20 Semiclassical techniques including WKB and Maslov methods
Issue 21 (28 May 2004)
Received 11 December 2003, in final form 5 April 2004
Published 12 May 2004
G F Dell'Antonio and L Tenuta 2004 J. Phys. A: Math. Gen. 37 5605
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