Recent content by Rory9

Thank you very much for your answer. I understand the second statement, but what exactly are you doing in the first - simply slicing off the complex aspect by mathematical fiat? Cheers :)

Typically a matrix, I believe, for which \Gamma(T_{1}T_{2}) = \Gamma(T_{1})\Gamma(T_{2}) holds, where T_{1}, T_{2} belong to G

Homework Statement How can irreducible representations of O(3) and SO(3) be determined from the irreducible representations of SU(2)? The Attempt at a Solution I believe there is a two-one homomorphic mapping from SU(2) to SO(3); is that enough for some shared representations? If I had...

Thank you :-) Would I be right in thinking that a covariant dot product can be formed in the above (and these are invariant) - another way of looking at it (?) Regarding the gauge invariance, are you proposing simply to substitute that transformation into the above expression and see if I...

Hi, I believe you can use the "energy-momentum tensor" to express the conservation of both energy and momentum for fields (\partial_{\mu} T^{\mu \nu} = 0). But I'm wondering: why's a tensor needed, specifically, to describe this conservation of energy and momentum for fields? For particles, I...

Homework Statement In a conventional accelerator, the energy of the particles bombarding the target at rest is connected to their velocity by the relativistic formula where the relevant velocity of the bombarding particles v1 is the velocity relative to the target at rest, v1 = v1_rel. In an...

Homework Statement Imagine a spatially 2d world. The electromagnetic field could be richer here, because you could add to the Lagrangian L an additional term (known as the Chern-Simons Lagrangian) L_{CS} = \epsilon_{0}\frac{\kappa}{2}\epsilon^{\alpha \beta...

A good suggestion. Thank you. It will end up with an arc sin of a cos, I think, but perhaps that can be rewritten more elegantly...

I am staring at an integral of the form \int \frac{sin(at)}{(1 + bsin^{2}(at))^{1/2}} dt which I have generated for myself (in attempting to model the behaviour of a particle in an oscillating field). I can't see a sensible substitution to try, at present. I could hunt down a standard...