Mukunda, N (1978) Completeness of the Coulomb wave functions in quantum mechanics. In: American Journal of Physics, 49 (6). pp. 910-913.
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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|
|Additional Information:||Copyright of this article belongs to American Institute of Physics.|
|Department/Centre:||Division of Physical & Mathematical Sciences > Centre for Theoretical Studies|
|Date Deposited:||21 Sep 2010 06:57|
|Last Modified:||21 Sep 2010 06:57|
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