I'm currently in the midst of a QED course which presupposes a lot of relativistic QM, which I never saw in depth. I have found some good resources on the Dirac equation and its consequences, but most of them glance over the non-relativistic limit. While not crucial for what I need to know, I...
Thanks for your reply! It's kind of what I suspected, for a second I thought it could be some important constant of motion related to the virial theorem or something like that, but I couldn't find anything in my old mechanics textbooks. I guess it's just a curiosity then :)
Reason I posted this in the maths help forum is that an equation of this form randomly popped up in a homework I was doing on differential geometry. I started with a one-form ω=dβ (β is a scalar function) and found that if for a random vector v, ω(v) = 0, then
\frac{d}{dt} \left(...