Continuum quantum systems as limits of discrete quantum systems: II. State functions
- 24 May 2001
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 34 (22) , 4673-4682
- https://doi.org/10.1088/0305-4470/34/22/308
Abstract
In this second of four papers on the eponymous topic, pointwise convergence of a `discrete' state function to a `continuum' state function is shown to imply the algebraic criterion for convergence that was introduced in the prequel. As examples (and as a prerequisite for the sequels), the normal approximation theorem and the convergence of the Kravchuk functions to the Hermite-Gaussians are expressed in terms of the algebraic notion of convergence.Keywords
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