Recent content by alec_grunn

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    Fourier transform between variables of different domains

    I'm doing a research project over the summer, and need some help understanding how to construct an inverse Fourier transform (I have v. little prior experience with them). 1. Homework Statement I know the explicit form of ##q(x)##, where $$ q(x) = \frac{M}{2 \pi} \int _{- \infty}^{\infty} dz...
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    Normalising superposition of momentum eigenfunctions

    Hi Simon, thanks for the response. I've just realized the second option I gave "The allowed momentum values are not p=±ℏk, but ## p = ± \frac{\hbar k}{5A2}##" is not implied by anything above - please forget about it. First off, I forgot to mention it's not in a potential well. So this is for...
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    Normalising superposition of momentum eigenfunctions

    Hi all, I asked for help with one part of this question here. But after thinking about another part of the question, I realized I didn't understand it as well as I'd thought. Homework Statement Ψ(x,0)=A(iexp(ikx)+2exp(−ikx)) is a wave function. A is a constant. Can Ψ be normalised? Homework...
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    Allowed momentum values for a plane wave

    Ok so that means 20% chance of +p and 80% chance of -p?
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    Allowed momentum values for a plane wave

    Hi all, This is from a past exam paper: At t=0 the state of a particle is described by the wavefunction $$ \Psi (x,0) =A(iexp(ikx)+2exp(-ikx)) $$ This is between positive and negative infinity - not in a potential well. What values of momentum are allowed, and with what probability in each...
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    Moving on a spinning chair initially at rest

    @haruspex I moved my arms in a circular arc clockwise and the chair spun counterclockwise. When I did this fast enough, I could actually spin around in the chair while seeming not to push off anything. The chair didn't continue to rotate when my arms stopped, so is the best guess conservation of...
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    Moving on a spinning chair initially at rest

    Hey guys, this is not really a h/w question but I thought this would be the best place to get a relevant answer. So I was doing physics h/w last night and found that I could spin on my chair (a standard office swivel chair) by moving my arms in the opposite direction to the way I wanted to...
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