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 Apr 13 awarded Popular Question Nov 20 accepted Finding hilbert space basis Nov 20 revised Finding hilbert space basis added 13 characters in body Nov 19 comment Finding hilbert space basis I'm not sure of what a "outer product" is. Isn't that a cross product ? So by taking $\phi_1 \times \phi_2$ I get a third vector $N_3\phi_3$ orthogonal to the other two. And if I normalize it to 1, I get $N_3 = \frac{1}{\sqrt{6}}$, correct ? Nov 19 revised Finding hilbert space basis added 96 characters in body Nov 19 asked Finding hilbert space basis Oct 1 awarded Popular Question Sep 30 comment Differentiate a function with respect to a vector It is indeed from non-relativistic QM. I'm going to follow your advice and keep using the course's notation for the time being then. Thanks :) Sep 30 accepted Differentiate a function with respect to a vector Sep 30 comment Differentiate a function with respect to a vector Can I summarize the two equations this way : $\nabla\psi = \frac{i}{\hbar}\psi(p_x, p_y, p_z, -E)$ ? Sep 30 asked Differentiate a function with respect to a vector Aug 24 awarded Yearling Jun 9 revised Fourier transform of $f'(t)$ deleted 6 characters in body Jun 9 accepted Fourier transform of $f'(t)$ Jun 9 asked Fourier transform of $f'(t)$ Jun 8 revised Limit of sinc and dirac delta added 309 characters in body Jun 7 comment Limit of sinc and dirac delta Intuitively, by looking at the picture I can see that it's true, but I don't understand how to evaluate the limit for $\omega \neq 0$ Jun 7 asked Limit of sinc and dirac delta Jun 7 accepted Fourier transform of the Fourier transform Jun 6 comment Fourier transform of the Fourier transform Ok. I still don't understand how $e^{-it(\tau+\omega)}dt = e^{-itu}du$ though... if $u = (t+\omega)$ then $e^{-itu}du = e^{-it^2-it\omega}dt$ ?