Recent content by Silversonic

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    Calculating the fall of the moon in one second

    Homework Statement If I know only the circumference of the orbit of the moon, and the time it takes to make an orbit (29 days), how far does the moon fall in one second? The Attempt at a Solution I'm failing to understand how certain assumptions can be made in the geometry here. From Figure...
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    What are some practical hobbies for a student studying nanoscience?

    I became slightly too addicted to pleasure reading over this summer, but it's kept me off the internet which I can only see as a positive. Recently I've started using my Raspberry Pi my uncle bought me a year back but didn't have time to commit. They are cheap, "nifty" (the best word to describe...
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    Exchange symmetry when isospin is concerned?

    Apologies for the necro-bump but I want to make sure I've got this correct as I'm coming back to it. So is the antisymmetry of total wavefunction under exchange of two general fermions definitely not thing? It's definitely only for two identical fermions, e.g. two protons, or a neutron/proton...
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    Plasma assumed as a perfect eletrical conductor?

    (Wasn't sure on the right section for plasma physics, I apologise if this is wrong).I'm reading up right now on a plasma surrounded by a tokamak wall, and the assumption of ideal magnetohydrodynamics - which assumes very little internal electrical resistivity and so the plasma can be assumed as...
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    Why is 1+2+3+4+5+... equal to -1/12?

    Another video from the same guys that I believe clears it up:
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    Fourier Series complex coefficients

    Okay, the picture won't load for me. That could be an issue on my end.
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    Fourier Series complex coefficients

    You seem to be missing a minus sign in your integral. Also, simply for consistency, the limits you originally give (between 0 and T) aren't the limits you say you end up using (between 0 and T/2). Lastly, what is e^{-in\pi} for odd/even n ? Recall e^{in\pi} = cos(n\pi) + isin(n\pi) .
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    Generalised eigenspace contains the eigenspace?

    Currently on mobile so I can't check this fully. If I recall a generalised eigenvector for \lambda is a nonzero vector v such that for some integer N (A-\lambda I)^N v = 0 So obviously from they definition an eigenvector for lambda is inside the generalised eigenspace. But how do I show...
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    Generalised eigenspace contains the eigenspace?

    I've been introduced to the definition of a generalised eigenspace for a linear operator A of an n-dimensional vector space V over an algebraically closed field k . If \lambda_1, \lambda_2,...,\lambda_k are the eigenvalues of A then the characteristic polynomial of A is defined...
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    Centrifugal force? Why does the Earth bulge at the equator?

    I'm trying to understand why a superdeformed nucleus may be represented as bulging perpendicular to the axis of rotation, and I'm guessing this is akin to why the Earth does so too. I've gone through secondary school and 3 years of University to have professors/teachers snigger every time they...
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    Matrix element for direct reactions

    I apologise since I already have a question on this board, but I've been stuck for a good few hours understanding exactly how this has been done. The differential cross section for a direct reaction from \alpha to \beta is given by \frac{d\sigma}{d\Omega} = f(k,k')|T_{\beta \alpha}|^2...
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    Centre of mass frame in nuclear reactions?

    So the frame in which the momentum is zero, is the same before and after a nuclear reaction, because the actual formula takes relativistic mass changes into account?
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    Nuclear force tensor operator expectation value.

    Thanks for the help. (Swapped accounts)
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    Nuclear force tensor operator expectation value.

    Thanks for the reply. Each spatial term has a spherical harmonic, for instance inside \Psi_f there is Y_{L_f, m_f} . I can see looking at (13) through (17) any change in angular momentum outside of -2 \leq \Delta L \leq 2 gives that integral equal to zero. I feel like it should make the...
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    Exchange symmetry when isospin is concerned?

    I thought that only applied to identical fermions? Guess I was wrong.
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