Hello everybody,
If I define z_\mu = \frac{\partial{\phi}}{\partial{x^{\mu}}}, \, \mu = 0,1,...,n , (for some scalar function phi of x=(x_0,...,x_n)) how is then \frac{\partial{}}{\partial{z_{\mu}}} defined or rather what is it equal to? How would you call this expression? the inverse of a...
Ah, i see. We just define it this way. Thank you so much. But in equation (1.2.8), in the last equality, how do I formally see that we can swap \bar{e_\mu} with \Lambda^{\nu}{}_{\sigma} ? I mean is it not a matrix multiplication?
if the first relation is true (which I of course believe but do not understand) then ds^2 = dx^2 + dy^2 + dz^2 = \eta_{\alpha\beta}dx^\alpha dx^\beta = c^2dt^2 -dr^2, since dx^{\alpha} = (cdt,dx,dy,dz) is the 4-vector and we treat dx^{\alpha}dx^{\beta} like the scalar product to get (c^2...
Hi,
I have trouble understanding why the following relations hold true. Given the Minkowski metric \eta_{\alpha\beta}=diag(1,-1,-1,-1) and the line segment ds^2 = dx^2+dy^2+dz^2, then how can i see that this line segment is equal to ds^2 = \eta_{\alpha\beta}dx^\alpha dx^\beta . Further, we...
thank you for the warm welcome :-)
I can use the de-Broglie relation lamba=h/p, p the momentum. then i get the speed, right? :-)
I am sorry, I missread '2. relevant equations' with '2. relevant questions' when I was writing the post.
Homework Statement
Hi, I want to apologize for any grammar errors in advance since english is not my first language. But i hope it is good enough such that the question is clear:
I want to calculate the velocity of a Helium-atom after it scattered on a double slit. The following information are...