Recent content by Milsomonk

I have got a stage where I have a cross section of the form: $$ \frac{d\sigma}{dx} = A\cdot x$$ Where ##x=\frac{E_a}{E_e}##, ##E_a## and ##E_e## are both variables, ##A## is a constant and I wish to express the cross section as ##\frac{d\sigma}{d E_a}##. But I am not sure how to do this change...

The paper is "Axion Bremsstrahlung by an electron beam" - Yung Su Tsai (1986)

Thanks for your response, both ##E_e## and ##E_a## are variables, not constant.

Hi all, I am looking for clarification on what is probably a pretty basic change of variables between a few lines in the following paper: https://journals.aps.org/prd/pdf/10.1103/PhysRevD.34.1326 Equation (9) shows the differential cross section for a Bremsstrahlung process which...

Hi all, I am looking for clarification on what is probably a pretty basic change of variables between a few lines in the following paper: https://journals.aps.org/prd/pdf/10.1103/PhysRevD.34.1326 Equation (9) shows the differential cross section for a Bremsstrahlung process which...

Thanks for your replies! I am just trying to follow the working in an old thesis. I am expecting a single index result in the form of a force so I think their use of the term tensor product was in fact a little misleading. Thanks again, this has been very helpful!

Hi all, I'm pretty rusty on my index gymnastics, I'm wondering if someone can explain to me the correct way to take the tensor product of a general 4-vector ## g^{\mu} ## and a tensor ## P^{/mu\ /nu} ## in Minkowski space. The part that is troubling me is the fact that both have a ## \mu ## as...

I'm in total agreement with VanHees and others on this. One alternative approach that can be taken in QM (and many other areas of physics) is to formulate quantum mechanics in terms of the spacetime algebra (STA). The STA is a real geometric algebra, in this approach one does away with complex...

Hi folks, Hope everyone is keeping well. I've recently read the headlines of "strong evidence for new force of nature" pertaining to the Muon g-2 experiment. Interesting as I find the article in the BBC linked below: https://www.bbc.co.uk/news/56643677 I'd love to read some...

I believe the edges use representations of su(2) to encode curvature, the representations are the holonomy of the connection, this provides the link from curvature on a Riemmanian manifold to the discretized space of LQG. If we take a number of infinitesimal rotations in the form of su(2)...

They would if they were traveling through the same magnet, but they are not. As is shown in the picture handily posted by @ChrisVer, the counter propagating beams are traveling in separate beam pipes, with separate magnets.

At the LHC the counter propagating beams are transported in separate beam pipes before their paths are overlapped using magnets to cause particle collisions.

Coherent beam combination is very much an active field of research. The idea is to take several laser beams and combine them such that there phase relationship is locked and one gets constructive interference of the EM wave. This is difficult and requires phase modulation at sub-femtosecond...

I'm unaware of any books specifically dedicated to Feynman diagrams, but an entry level QFT text should have a lot of what you are looking for. I found Peskin Schroeder (An Introduction to Quantum Field Theory) very useful when studying for my masters, and still lean on it on the occasion I need...

In the field of classical optics the description of light as an electromagnetic wave is central, and hence its electric and magnetic components are very important. As an example many optical instruments are sensitive to the waves polarization state, which tells you the transverse behaviour of...