Talk:Relation between Schrödinger's equation and the path integral formulation of quantum mechanics

Error at finite N not indicated in the text and the formulas

There derivation is OK, but I am missing the terms $O(\delta t^{2})$ ,

exp(ta+tb)=exp(ta)exp(tb)+O(t^{2})

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Error in the derivation

To whoever might be interested in fixing the related page, I pointed out that this derivation is in general wrong, as one of the formulas it is based on can be applied only if V(q) commutes with p. The way Feynman does it in his book on path integrals (see page 77 in my edition) is by approximating p=(x_j+1-x_j)/delta t. —Preceding unsigned comment added by 18.62.30.77 (talk) 17:58, 10 February 2010 (UTC)[reply]

Misleading Gaussian Integral

The Gaussian integral is "performed" with no indication that this is hugely problematic, since the exponent is purely imaginary and the integral does not converge in the usual mathematical sense. The referenced article on Gaussian integrals correctly excludes this case. I don't know how best to deal with this (there seems to be a sizable mathematical literature on this issue), but it should at least be mentioned. — Preceding unsigned comment added by 24.141.9.29 (talk) 16:30, 18 February 2015 (UTC)[reply]