Semiclassical analysis of constrained quantum systems
نویسندگان
چکیده
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 (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 1/2 , by the evolution of a semiclassical wave packet centred on the trajectory of the corresponding classical constrained system.
منابع مشابه
ar X iv : m at h - ph / 0 31 20 34 v 1 1 1 D ec 2 00 3 Semiclassical analysis of constrained quantum systems
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 (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 1/2 , by the evolution of a semiclassical wave packet centred on the trajectory of t...
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