Recent content by PsiPhi

Cheers, AEM. I do have Weinberg's text, I will have a look.

Homework Statement Suppose \bar{x}^{\mu} is another set of coordinates with connection components \bar{\Gamma}^{\mu}_{\alpha\beta}. Write down the geodesic equation in new coordinates. Homework Equations Using the geodesic equation: 0 = \frac{d^{2}x^{\mu}}{ds^{2}} +...

Hello, I'm currently doing a project that is concerned with the hopeful discovery of the Higgs Boson at LHC. I'll be running some code that my supervisor has produced, but before that he wanted me to understand more of the physics that is behind the Higgs mechanism. He has proposed a...

Hello again, I was wondering if you guys could check the logic of what I've done so far for the question I'm about to propose. I'm a little stuck on how to reduce the equation further: So here's the question: (ii) Separate variables and reduce the Schrödinger equation to a one dimensional...

Sweet thanks for all the help Gokul and dexter. There's a couple more parts to the overall question, I'm about to get started on these parts. If I get stuck again, I'll ask you guys. Thanks again, for all the help. Cheers.

Yep, you get 2 \vec{A} . \nabla . Then this will cancel out, just wondering if my final equation seems logical? With all the steps taken into account, also how about if A was equal to A = (0, 0, -xB) which still yields B = (0, B, 0)

Taking the Curl of (zB, 0, 0) it returns B = (0, B, 0), which agrees with the B field specified. But also, we can take the curl of (0, 0, -xB) and this yields B = (0, B, 0). Is the zB one correct or -xB one correct or both are correct? I'm thinking it has something to do with the symmetry of the...

Have you got a link I could look up on where they use Landau gauge? The gauges I'm familiar with are Coulomb and Lorenz only. thanks.

Hey, I've got the generalised quantum Hamiltonian for the case above. Now, I want to obtain the relevant scalar/vector potentials given the E/B fields specified above. I have solved the vector potential expression, and related all the corresponding B and A components to their respected...

Hey, Sorry I haven't replied in a few days. But, I've been flat out with other subjects. OK, back to this problem, I have found a solution to this where they used Lagrangian-Hamiltonian to formulate the solution. And it seems like they obtain a Hamiltonian of H = q\phi + \frac{1}{2m} \left[...

Homework Statement Consider a particle of charge e and mass m in crossed E and B fields, given by E = (0,0, E), B = (0,B, 0), r = (x, y, z). Write the Schrödinger equation. Homework Equations Schrödinger's equation: \left[ -\frac{\hbar^{2}}{2m} \nabla^{2} + V(r,t) \right] \Psi(r,t)...

Ah yes, you are correct. The eigenvector I did before was for -\frac{\hbar}{2}. But a weird thing happens, if i solve v_2 in terms of v_1 you will get a different eigenvector. However, I finally realized they differ by a multiplicative constant of i. Thanks for the help, olgranpappy.

For the eigenvalue \lambda = + \frac{\hbar}{2}, I get two simulatenous equations: -v_{1} + iv_{2} = 0 ... (1) iv_{1} - v_{2} = 0 ... (2) Solving (1) for v_{1} in terms of v_2: -v_{1} = iv_{2} v_{1} = -iv_{2} Therefore, looking at the comparison of v_{1} and v_2, the...

Homework Statement Starting with \sigma_{y}, calculate the momentum eigenstates of spin in the y direction. \sigma_{y} = \left[\stackrel{0}{i} \stackrel{-i}{0}\right] (Pauli spin matrix in the y direction) S_{y} = \frac{\hbar}{2}\sigma_{y} (spin angular momentum operator for the y direction)...

Homework Statement The time it takes for a deceased human body to reach room temperature. Room temperature = 25 degrees C Initial temperature of corpse = 37 degrees C Homework Equations I used Newton's law of cooling: \frac{dT}{dt} = -k(T - T_{room}) where T is a function of t(time in...