Recent content by Funzies

Hey guys! I am considering a space with a diagonal metric, which is maximally symmetric. It can be proven that in that case of a diagonal metric the following equations for the Christoffel symbols hold: \Gamma^{\gamma}_{\alpha \beta} = 0 \Gamma^{\beta}_{\alpha \alpha} =...

What do you mean by this? Before I saw Rindler space I always believed that special relativity could not cope with accelerating frames, but apparently it can, if you define the frame at every proper time tau. I am a bit confused by all this. I have the following relations: x =...

Hey guys, I am considering a Rindler space in which the metric is given by: ds^2 = dx^2 - (dx^0)^2 = dw^2 - (1+gw/c^2)^2(dw^0)^2 , where (x^0, x) are Minkowski coordinates in an intertial system I and (w^0,w) the Rindler coordinates of a system of reference R with constant acceleration g...

Homework Statement I have derived the metric in for 2D Rindler space in a previous problem and it is explicitly given again here: ds^2 = dx^2 - (dx^0)^2 = dw^2 - (1+gw/c^2)^2(dw^0)^2 , where (x^0, x) are Minkowski coordinates in an intertial system I and (w^0,w) the Rindler coordinates of a...

As the title suggests I am working on some general relativity and combinatorics seems to be my ever-returning Achilles heel. I have a four dimensional tensor, denoted by g_abcd with a,b,c,d ranging between 0 and 3, which is fully antisymmetric, i.e.: it is zero if any of the two (or more)...

Hey guys, I'm having some trouble plotting a matrix. I have a cell in which I've put four matrices. These matrices are variable in length: they are nx2 with n starting on 31 and varying from 0 to 120. De first column of each matrix represents the x-coordinate and the second column represents...

Hey guys, I'm following a course on vector calculus and I'm having some trouble connecting things. Suppose we have a three-dimensionale vectorfield F(x,y,z)=(F1,F2,F3) and suppose we have a potential phi for this. So: F=grad(phi). The field lines of a vector field are defined as d(r)/dt =...

Hey guys, I am attending my second course in quantum mechanics. At the moment we are studying two-particle-systems using Dirac notation. In our book (An introduction to quantum mechanics - Griffiths) the author wrote that one can prove from relativisitic quantum mechanics that particles with...

If A = \[ \left( \begin{array}{ccc} a & b \\ c & d \end{array} \right)\][\tex] and B=\[ \left( \begin{array}{ccc} \alpha & \beta \\ \gamma & \delta \end{array} \right)\] in the basis |e1>,|e2>, find AxB (where "x" is the tensorproduct) in the basis |e1e1>,|e1e2>,|e2e1>,|e2e2> I managed to find...

Homework Statement If A = \[ \left( \begin{array}{ccc} a & b \\ c & d \end{array} \right)\][\tex] and B=\[ \left( \begin{array}{ccc} \alpha & \beta \\ \gamma & \delta \end{array} \right)\] [\tex] in the basis |e1>,|e2>, find AxB (where "x" is the tensorproduct) in the basis...

Homework Statement If A = \[ \left( \begin{array}{ccc} a & b \\ c & d \end{array} \right)\][\tex] and B=\[ \left( \begin{array}{ccc} \alpha & \beta \\ \gamma & \delta \end{array} \right)\] [\tex] in the basis |e1>,|e2>, find AxB (where "x" is the tensorproduct) in the basis...

Homework Statement Prove: (QR)*=R*Q*, where Q and R are operators. (Bij * I mean the hermitian conjugate! I didn't know how to produce that weird hermitian cross) The Attempt at a Solution I have to prove this for a quantum physics course, so I use Dirac's notation with two random functions f...

I've come across this a few times: <S_x^2> = <S_y^2>=<S_z^2>=\hbar^2/4 But I can't seem to understand why this holds, as <S_x>, <S_y> and <S_z> sometimes give really strange values for a random spinor, with no correlation at all. Can anyone explain this to me? Thanks!

Hello there, I've got two short questions I was hoping you could help me with: -I have to prove: "if f is simulateneously an eigenfunction of L^2 and L_z, the square of the eigenvalue of L_z cannot exceed the eigenvalue of L^2" He gives a hint that I should evaluate <f|L^2|f> But I...

Hey guys, I'm studying some quantum physics at the moment and I'm having some problems with understanding the principles behind the necessary lineair algebra: 1) If two operators do NOT commutate, is it correct to conclude they don't have a similar basis of eigenvectoren? Or are there more...