Recent content by Plaetean

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    Graduate GADGET2 Simulations: Fixing N-GenIC Error

    Thanks for replying - just in case anyone else ends up with the problem I think I may have found a workaround. So the error results from the fact that there are undefined variable in the code - I have simply removed troublesome variables and corresponding if statement from the code, and they do...
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    Graduate GADGET2 Simulations: Fixing N-GenIC Error

    So this is a pretty specific technical question - but if anyone has experience running the N-body simulation GADGET2, I'm generating initial conditions using N-GenIC, and trying to turn on gas particles in the makefile gives the same error as described here...
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    Gauge symmetry for massless Klein-Gordon field

    Homework Statement I need to gauge the symmetry: \phi \rightarrow \phi + a(x) for the Lagrangian: L=\partial_\mu\phi\partial^\mu\phi Homework EquationsThe Attempt at a Solution We did this in class for the Dirac equation with a phase transformation and I understood the method, but...
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    Undergrad 4 vector upper and lower indices

    Thanks for this - its kind of bizarre that I have never come across this kind of thing explicitly in my courses, and I'm finding it really hard to find clear online material on it as well.
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    Many particle physics - Hamiltonian for Fermi system

    Homework Statement Working through problems in Mahan's 'Many Particle Physics' book, and at the end of the 1st chapter there's a question where we're asked to consider a fermion system with three energy states with eigenvalues E1, E2, E3, and matrix elements M12, M23, M13 which connect them and...
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    Undergrad 4 vector upper and lower indices

    I'm working through some intro QFT using Peskin accompanied by David Tong's notes, and have a question over notation. From Peskin I have: x^\mu=x^0+x^1+x^2+x^3=(t,\mathbf{x}) and x_\mu=g^{\mu\nu}x^\nu=x^0-x^1-x^2-x^3=(t,-\mathbf{x}) so p_\mu p^\mu=g^{\mu\nu}p^\mu p^\nu=E^2-|\mathbf{p}|^2...
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    Minimisation Problem (Euler-Lagrange equation)

    Homework Statement http://i.imgur.com/BV5gR8q.png Homework Equations d/dx ∂F/∂y'=∂F/∂y The Attempt at a Solution I have no problem with the first bit, but the second bit is where I get stuck. Since the question says the speed is proportional to distance, I have taken v(x)=cx where c is some...
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    Undergrad S=1 and I=1: How Can L be Anything Other than 0?

    My notes say: http://i.imgur.com/Z0v7Psi.png The particular part I don't understand is that we know I = 1, and the text says: for S = 1, I can be equal to 1 for L = 0, 1, 2.If we know I = 1 and S = 1, how can L be anything other than 0? Thanks as always!
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    Graduate Time independent perturbation theory

    Excellent, thank you very much, that makes sense now. So the operator can change the basis vectors themselves?
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    Graduate Time independent perturbation theory

    Because different states are orthogonal, so ##\langle \phi_n | \phi_m \rangle = 0## for ## m\neq n##
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    Graduate Time independent perturbation theory

    Could you elaborate a bit?
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    Graduate Time independent perturbation theory

    In my course notes for atomic physics, looking at time independent perturbation for the non-degenerate case, we have the following: http://i.imgur.com/ao4ughk.png However I am confused about the equation 5.1.6. We know that < phi n | phi m > = 0 for n =/= m, so shouldn't this mean that < phi n...
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    Finding electrostatic potential from charge distribution

    No, perhaps I could do it just using Gauss' law instead, might be easier