Completeness of the Coulomb wave functions in quantum mechanics

Mukunda, N (1978) Completeness of the Coulomb wave functions in quantum mechanics. In: American Journal of Physics, 49 (6). pp. 910-913.

PDF wave.pdf - Published Version Restricted to Registered users only Download (324kB) | Request a copy

Abstract

We give an explicit, direct, and fairly elementary proof that the radial energy eigenfunctions for the hydrogen atom in quantum mechanics, bound and scattering states included, form a complete set. The proof uses only some properties of the confluent hypergeometric functions and the Cauchy residue theorem from analytic function theory; therefore it would form useful supplementary reading for a graduate course on quantum mechanics.

Item Type:	Journal Article
Publication:	American Journal of Physics
Publisher:	American Institute of Physics
Additional Information:	Copyright of this article belongs to American Institute of Physics.
Department/Centre:	Division of Physical & Mathematical Sciences > Centre for Theoretical Studies (Ceased to exist at the end of 2003)
Date Deposited:	21 Sep 2010 06:57
Last Modified:	21 Sep 2010 06:57
URI:	http://eprints.iisc.ac.in/id/eprint/32281

Actions (login required)

View Item