Let's say I have a point dipole (as an approximation for an atom) at the origin and it oscillates in the z axis. The (theta component of the) electric field due to this dipole in the far field will be
E = \frac{d}{4\pi\epsilon_0}\frac{k^2\sin\theta}{r}\exp i\left(kr-\omega t\right)
where d is...
Sorry the second line should read:
"=\ldots -g\frac{1}{2}\left(\bar{\nu}_L \right. \ldots"
and the last gamma in the isolated electron-photon interaction term should have a lower mu index, as should that of the neutrino term
OK so I've done it, although I heavily relied on the hint given and I am dubious as to how well I understand this and how well I will do in the exam. Here's the answer nonetheless:
{\mathcal{L}}_I = \ldots - gJ_\mu ^3 W^{3\mu } - g'Y_L \bar \chi _L \gamma ^\mu \chi _L B_\mu - g'Y_R...
In the lecture today we've been given a hint. Apparently we need to write out the interaction Lagrangian (density), rewrite in terms of the A_\mu and Z_\mu fields and \theta_W. Then isolate the electron terms, set the term coefficients equal to e and lastly isolate the neutrino terms and set the...
You could well be, as we are yet to cover electroweak symmetry breaking.
I could be wrong, but are the terms in the Gell-Mann-Nishijima relation matrices for the left-handed case and numbers for the right handed? If this is true, with the values you gave, Y_L= \left( \stackrel{1}{-2} \right)...
Homework Statement
a)
Consider Glashow's model with general hypercharge assignments Y_L, Y_R, for the left-handed and right-handed fields, respectively. By demanding the correct electromagnetic couplings of the electron and neutrino to the photon, determine the ratio Y_L/Y_R.
[8 marks]...
Im writing a program in python to simulate the propagation of a gaussian beam through a thick lens and to the focussing point using Fourier optics.
Due to the strength of the focussing I need a lot of data points so that I have a decent resolution at the focus. To speed things up and to...
Bit of a simple question but one I've never really had to think about.
Lets say you have two opposing poles of a magnet (a ferromagnet i guess), they repel of course, but will forcing them to stay next to each other eventually demagnetize them?
My instinct tells me no, but maybe the force...
I'm a 20y.o. physics student at the university of durham UK.
I've never had a job, so I reckon by the time I graduate etc. it'll be hard for me to get started with a career because of my lack of experience.
The job market isn't exactly fruitful at the moment, people are being laid off...
Well there's 2 contents' one is more brief and names the missing chapters in it, the other is more detailed and does not contain the chapters.
I do not have the paper-bound one, I have one rather large hard-back book about 1200-1300 pages.
There is only 8 chapters (1 part) missing in a total...
"Physics for Scientists & Engineers" by Tipler & Mosca
I don't know if anyone here owns the textbook "Physics for Scientists and Engineers" 6th edition by Paul Tipler and Gene Mosca, I'm using it for my 1st year physics course at durham.
In it there are serveral sections including "Modern...
I never usually have a problem with it but this threw me because of the y terms.
x^4 + 2x^2 + y^4 -2y^2 + 3
i reduced it to
(x^2 + 1)^2 -1 + (y^2 -1)^2 -1 +3
=(x^2 + 1)^2 + (y^2 -1)^2 +1
but the question asks for "the smallest value (for real x and y)"
although judging by the...
most of my answer came from memory seen as i gave my textbooks back to my old school.
and from what i remeber when there's a squared term ie (x+1)^2, in the partial fractions one has the denominator (x+1) and one has (x+1)^2
then i multiplied the letter with that denominator by the denominators...
Im going to Durham uni in oct to do physics, and the nice people of the physics department sent me some maths questions to do before I arrive.
One of the partial fractions questions looked simple enough, but when I did it, I got it wrong...so with the answer they give, i worked back to the...