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Semiclassical analysis of constrained quantum systems

G. F. Dell'Antonio·L. Tenuta
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Abstract

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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G. F. Dell'Antonio, L. Tenuta. 2004-04-05. Semiclassical analysis of constrained quantum systems. https://doi.org/10.1088/0305-4470/37/21/007

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