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the Breit 'equation' isn't so much of an equation as it is just a perturbing operator. Also, in the literature it is usually called the Breit-Pauli operator. I think the title of the article should reflect that.
Question. For H6, is it assumed that the vector potential A is in the Coulomb gauge? Also, p needs to be defined. Xxanthippe (talk) 23:26, 4 December 2009 (UTC).
Index in H3?
editThere seems to be a free index j in the H3 term. The first term consists of the inner product of spin s_i with the outer product [F(r_ij) x p_i]. In my opinion, the index j in F(r_ij) is not correct since there is no summation or other reference to it.129.13.72.198 (talk) 11:38, 21 February 2012 (UTC)
Typo in Equation for H_6 ?
editIt seems to me that there is mistake in the equation giving H_6. The factor mu_B should be inside the parenthesis (just before H) as it concerns only the spin contribution, not the orbital one. Can anyone confirm this? — Preceding unsigned comment added by 160.103.208.60 (talk) 15:30, 19 August 2019 (UTC)
- That seems to be the case. The original source https://www.rle.mit.edu/cua_pub/8.421/Papers/Module%202/Bethe%20and%20Salpeter%201957_Book_QuantumMechanicsOfOne-AndTwo-E.pdf structures it as you've stated. Zach7898 (talk) 21:38, 29 July 2024 (UTC)
Generally Poor Breit Expansion
editThe Breit Expansion is full of many small errors, specifically in grouping (through parentheses, as discussed above) and indexing. (Like in H_3, I cannot find an example of a mass other than the mass of an electron being used, even in the original Bethe source, when they apply the equation to Helium, the mass of the Helium nucleus never comes into play, even though the charge does, eq. 40.3, pg.185) It also is inconsistent with the source itself, as well as many other sources.
https://www.rle.mit.edu/cua_pub/8.421/Papers/Module%202/Bethe%20and%20Salpeter%201957_Book_QuantumMechanicsOfOne-AndTwo-E.pdf (Original Source)
https://www.tandfonline.com/doi/abs/10.1080/0144235032000101743
The equation needs to be more precise. Zach7898 (talk) 21:37, 29 July 2024 (UTC)