G F Dell'Antonio and L Tenuta 2004 J. Phys. A: Math. Gen. 37 5605 doi:10.1088/0305-4470/37/21/007
Semiclassical analysis of constrained quantum systems
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.
- PACS
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03.65.Sq Semiclassical theories and applications
- MSC
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81Q20 Semiclassical techniques including WKB and Maslov methods
- Subjects
- Dates
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Issue 21 (28 May 2004)
Received 11 December 2003, in final form 5 April 2004
Published 12 May 2004
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Semiclassical analysis of constrained quantum systems
G F Dell'Antonio and L Tenuta 2004 J. Phys. A: Math. Gen. 37 5605
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