Talk:Hydrogen-like atom

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[edit] Bohr Radius

a0 as defined in the article is not the Bohr radius. The Bohr radius does not contain Z or mu. Perhaps we should not call this variable a0 here, because a0 usually means the Bohr radius. My reference (Bransden and Joachain, Intro to QM) defines a quantity a_mu, which is the same as a0 in the article but does not contain Z, and calls it the modified Bohr radius. Should we use that instead? We'd have to replace a0 with a_mu/Z everywhere, then. Pfalstad 21:42, 8 January 2006 (UTC)

Did you mean?:
a_{\mu} = \frac{4 \pi \epsilon_0 \hbar ^ 2}{\mu e^2}
I had seen this definition too, and probably it would fit better here because of the definition used in Bohr radius. To be consistent, I agree that we would better do as you say and change that. (Anyway, note that a_{\mu} \approx a_{0} almost exactly, for a single electron orbiting a proton, so this should be said in the article). --John C PI 22:45, 10 January 2006 (UTC)
I agree. I would think that a0 should be replaced with a_μ/Z and that the formula for "a" should not include Z. I would make the changes myself, but I don't really have much experience with using the math formatting, plus I am not familiar with the given general form of the wavefunction equation.--GregRM 21:32, 3 March 2006 (UTC)
I went through and tried to make the changes. I would appreciate it if at least one or two people could check my edit to make sure I got everything correctly. Thanks.--GregRM 13:19, 25 June 2006 (UTC)

[edit] Energy?

Griffiths did a much better job in is QM book - even though he didn't handle the Z <> 1 case directly, it was much easier to walk around the formulae there than to look it up here. This article is badly organized and incomplete. Why are the energies not mentioned? Shinobu 21:45, 11 September 2006 (UTC)

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