Continuum quantum systems as limits of discrete quantum systems: II. State functions

Date

2001

Authors

Barker, L.

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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.

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Journal of Physics A: Mathematical and General

Publisher

Institute of Physics Publishing Ltd.

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Published Version (Please cite this version)

Language

English