Continuum quantum systems as limits of discrete quantum systems: II. State functions
Date
2001
Authors
Barker, L.
Editor(s)
Advisor
Supervisor
Co-Advisor
Co-Supervisor
Instructor
Source Title
Journal of Physics A: Mathematical and General
Print ISSN
0305-4470
Electronic ISSN
1361-6447
Publisher
Institute of Physics Publishing Ltd.
Volume
34
Issue
22
Pages
4673 - 4682
Language
English
Type
Journal Title
Journal ISSN
Volume Title
Series
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.