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I have finally added some actual content to de Donder-Weyl-Hamilton equation.
In particular I have spelled out the “non-relativistic” form
$(\iota_{v_n} \cdots \iota_{v_1}) \omega = \mathbf{d}(H + e)$and the “relativistic” form
$(\iota_{v_n} \cdots \iota_{v_1} )\Omega = 0$and discussed the relation.
(I think I even sorted out all the signs correctly ;-)
In case someone anonymous checks back, in fact, as you probably know, he was Belgian and went to the Université Libre de Bruxelles. The family name is Flemish, of course. He studied with Poincaré according to the Math. Geneology page. The point is that his name is usually now written De Donder, although the other form de Donder is also used. His first name was Théophile. I do not know which form he used himself, de or De.
I believe the best thing to do would be to see how he spells (or “orthographs”) his own name, and stick with that. In the English Wikipedia, scanning the available linked references, every one of the scientific reviews has “de Donder”, which doesn’t look like a coincidence. Anyway, I don’t see how to justify “correcting” his own spelling, if in fact he uses the lower case. (Compare Dmitri Pavlov’s forceful arguments in favor of Neumark over Naimark.)
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