Recent content by fa2209

Hi, thanks a lot for your answer. I'll have a look at that when I get to the library today. From the above though, can you see an error in my working or is it ok so far?

Hi guys, I have a very basic question about the WZ model. I want to show that it is invariant under SUSY transformations. The action is \int{d^4 x} \partial^\mu \phi* \partial_\mu \phi +i\psi^† \bar{\sigma}^\mu \partial_\mu \psi The SUSY transformations are \delta\phi = \epsilon \psi ...

Thanks for the reply, I see that but couldn't you just pull a factor of 1/c out of square root and get what I wrote? Also, can you show how to construct the hamiltonian from here?

I've seen that the lagrangian for a relativistic free particle is -mc \sqrt{\eta_{\mu\nu} \dot{x^{\mu}}{\dot{x\nu}} but when I construct the hamiltonian as p_{\mu} \dot{x^{\mu}} - L I seem to get zero. I am not really sure what I'm doing wrong. I find that if in the first term of...

Im taking a group theory course at the moment in my third year of a theoretical physics degree. In my textbook the author says defines an isomorphism by saying that if two groups are isomorphic then their elements can be put in a one-to-one correspondence that preserves the group combination...

Haha, thanks but I'm struggling with the next 5% because I've only been doing this kind of mathematics for about 2 days. What I'm not sure about is how I can extend this to matrices to answer my problem. I understand how to use the orthogonality relationship with vectors but I'm not really...

Thanks a lot for your reply. I'm pretty new to this mathematics so I follow what your saying (sort of) but not sure I could carry out the steps you've outlined. A few questions: 1). I would probably choose the basis E_ij which represents the matrix with 1 in the ijth position and zero's...

I'm currently reading "Introduction to tensors and Group Theory for Physicists". I'm stuck on a question posed on dual spaces. The author gives the trace as an example of a linear functional on the vector space M_n(ℝ) (n x n matrices with real entries) and then asks how one would find the...

I am going to start my third year of a theoretical physics degree but have always had an interest in pure mathematics so I am currently teaching myself real analysis from the book "Real Analysis" by Howie. I've done some basic introductory set theory including cardinality, countability and...

Right, now I'm totally confused. I have never come across the quantum number "k". The way I have been taught is as follows: The first quantum number we saw in the course was n which came from solving the TISE for energy eigenvalues and we found that energy was quantised by an integer, n...

Hey, thanks for the reply. True, I understand that it should be less but why specifically restricted to n-1? If you see the derivations in the notes you'll see what I mean when I say that we were shown "where the restriction on m comes from".

Hi, I am a second year physicist and I have completed 2 courses on quantum mechanics. The first was a decent overview of wave mechanics and the second was only 12 lectures long and applied this knowledge to the hydrogen and helium atoms and introduced aspects of atomic and molecular physics...

Thanks a lot for your help. His lecture notes look like a pretty good supplement but I think I'd probably have to go out and buy the book for a full understanding. Are the problems in the book the same as those in the problem sheets?

Hi, I'm in my second year of my degree in Physics specialising in Theoretical Physics. My second year is coming to an end now and next year we will begin a course called Advanced Classical Physics (ACP) which will introduce Lagrangian and Hamiltonian mechanics as well as SR and...

Hey thanks for all the help guys. Frederick, I ment to say "a nearby point x+dx". Sorry for that. So, anyway I know how to derive the Maclaurin expansion. How do I then generalise this to a Taylor expansion. So if i have: f(x) = f(0) + xf'(0) + ... How does the Taylor expansion follow? Or...