Recent content by Brewer

Sorry, yes I am. I didn't realize there was a difference.

Whats the physical reason for a diagonalized matrix with the eigenvalues of the system as the values? Reading from wiki, it seems that its something to do with the Schrödinger Eqn, but I don't follow that. If someone could explain the point of it to me in plain English (or as close as it...

Hmmm... I think I see it now. Having looked up the rules for differentiating logs! Thanks for your help.

I'm not really seeing what you mean. Can you expand on this a bit further please?

Homework Statement Under the assumption that the hot, X-ray emitting gas in the halo of an elliptical galazy is in hydrostatic equilibrium with the gravitational field of the galaxy, show that the total mass interior to radius r is given by: M(r) = -\frac{kT(r)r}{\mu m_p...

No I hadn't - I thought that was to do with the second part of the question. I shall give that a go now!

Homework Statement Homework Equations The Attempt at a Solution As a group we're stuck on this as a result of the lecturer saying that he wouldn't help us because we should work as a group and find other ways other than asking him about it. Which is fair enough - but none of us...

Yeah I think I worked out how to do it on my walk home from uni - I think I'd forgotten how to integrate functions of the type 1/(x+1) which I can now see it is!

Homework Statement I have a differential equation of the form: dA/dx = ab + kA and I need to solve it Homework Equations The Attempt at a Solution I've started it by moving the right hand side of the equation to the bottom of the left hand side and the bottom of the left to...

Oh ok that's fair enough. Just assumed I could use g. Obviously not then.

This is doing my head in. It should be really simple, but I just can't work out the reasons why. I have a particle of 50g that drops from rest. It drops 1m in 12s. I then have to find the final velocity of the particle after this 12s. Using v = u + at I get v=12g Using h = (u+v)t/2 I...

I totally forgot how to integrate and how to split up fractions. I think I have it now.

Homework Statement The metric for trajectories along radial lines passing through observers on Earth in comoving coordinates is ds^2 = −c^2dt^2 + a(t)^2dr^2. At time t_0, now, a galaxy comoving with the expansion that is not currently observable here on Earth is receding from us at a recession...

If in the case of two non-interacting particles, the wavefunction looks like (for bosons): \psi(x_1, x_2) = \frac{1}{\sqrt{2}}[\phi_a(x_1)\phi_b(x_2) + \phi_a(x_2)\phi_b(x_1) And to normalise the wavefunction, the modulus squared has to be found. I can do this when I can substitute...

Homework Statement I'm just wondering how you get the energy levels from the Schrödinger equation. I've got the equation in the form H(psi) = E(psi) with all the H expanded out, I just don't know how to calculate the energy levels from it. Its probably something I did once know how to do, but...