Mukunda, N. (1978) Completeness of the Coulomb wave functions in quantum mechanics American Journal of Physics, 46 (9). pp. 910-913. ISSN 0002-9505
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Official URL: http://ajp.aapt.org/resource/1/ajpias/v46/i9/p910_...
Related URL: http://dx.doi.org/10.1119/1.11514
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: | Article |
|---|---|
| Source: | Copyright of this article belongs to American Association of Physics Teachers. |
| ID Code: | 25364 |
| Deposited On: | 06 Dec 2010 13:30 |
| Last Modified: | 08 Jun 2011 05:15 |
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