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Semiclassical analysis of constrained quantum systems

TitleSemiclassical analysis of constrained quantum systems
Publication TypeJournal Article
Year of Publication2004
AuthorsDell'Antonio, G, Tenuta, L
JournalJ. Phys. A 37 (2004) 5605-5624

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.


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