Recent content by jazznaz

Homework Statement The generators of SU(3) are the Gell Mann matrices, \lambda_a. Consider symmetry breaking of an SU(3) theory generated by a triplet of complex scalar fields \Phi = \left(\phi_1, \phi_2, \phi_3\right). Assuming the corresponding potential has a minimum at \Phi_0 =...

For general interest, I can recommend: Feynman - 6 Easy Pieces / 6 Not So Easy Pieces At a slightly more advanced level, but still very readable, I can recommend, Liddle - An Introduction To Modern Cosmology Coughlan - The Ideas Of Particle Physics I used both books as part of my...

Thanks!

I think I'm being distracted by thinking that there's no transfer of charge between the initial and final states. Had another go, and now have a diagram that looks like a scattering process with the exchange of a W+ boson.

In that case, it must be a photon?

Homework Statement Is the following process a valid interaction? \nu_\mu \bar{\nu}_e \rightarrow e^+ \mu Homework Equations none The Attempt at a Solution I'm not sure whether lepton number must be conserved at each vertex, or just for the overall process. I can draw a Feynman diagram...

Ahh great, nice to know that I'm getting the hang of this course - just about! Thanks very much for your help!

Sorry, I've taken t1 to be the elapsed time interval that we are interested in, and that happens to be 1 year, so t1 is just 1.

I've given that a go and I've ended up with an expression in terms of the speed of light and some constant. My best guess from here is to use the information in the question to try and determine what this constant is in terms of how it relates to the acceleration of the rocket? EDIT: Ok, for...

Homework Statement Anne and Joe are twins, happily living in an inertial frame. On their 20th birthday Joe decides to take a rocket. (a) According to Anne the rocket moves with constant speed v = \frac{3c}{5}. For 6 months it moves away from Earth and then returns in time for Anne's 21st...

Ok, I've had a play around and I think I've got to the result we were intended to find... \langle \hat{L}_{x} \rangle = - \frac{i}{\hbar} \langle [ \hat{L}_{y}, \hat{L}_{z} ] \rangle = - \frac{i}{\hbar} \langle l,m | \hat{L}_{y}\hat{L}_{z} - \hat{L}_{z}\hat{L}_{y} | l, m \rangle = -...

Yeah, that's what I was thinking... The question looked like it was worded such that they wanted me to find a solution just directly using the commutation relation. I guess I'll have a word with my lecturer tomorrow morning and clear that up. Thanks very much for your time!

Haha, I must be getting confused between a few different properties concerning the angular momentum operators. I'll have another read on the subject and come back to this I think. Bit disheartening, especially since I'm sure it's very simple!

Ok, I edited my original post with a little extra working out and hit on a step that I wasn't too sure on...

Homework Statement Consider a state | l, m \rangle, an eigenstate of both \hat{L}^{2} and \hat{L}_{z}. Express \hat{L}_{x} in terms of the commutator of \hat{L}_{y} and \hat{L}_{z}, and use the result to demonstrate that \langle \hat{L}_{x} \rangle is zero. Homework Equations [...