Recent content by hhhmortal

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    Shortest path on a conical surface (Variational Calculus)

    I've just come across this question, but after using the Euler equation to solve it, I don't know how to go about it next?..
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    Graduate Count rates from X-ray Fluorescence Spectrum

    They are gaussian. I'm just curious how this is done in practise. I assume as you mentioned, the gaussian is just integrated to get the total count rate. Of course the smaller the FWHM the more accurate it would be to just read the count rate at max-intensity.Thanks, this has helped!
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    Graduate Count rates from X-ray Fluorescence Spectrum

    Can anyone provide a yes or no answer at least? :/
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    Graduate Count rates from X-ray Fluorescence Spectrum

    My question is, when extracting the count rate from a particular peak in the energy dispersive spectrum (e.g. X-ray fluorescence) Is this done by simply drawing a straight horizontal line from the top of the peak to the y-axis and the corresponding intercept will be the count rate? What if the...
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    Graduate Brillouin zones and the E-k relation

    Hi, I'm having some trouble to fully understand how energy bands are formed in Brillouin zones. Almongst a few of the questions I have are: In a 2D plane of atoms, where a is the lattice constant in the x-direction and 1.5a in the y-direction. Would the brillouin zone edge in the k_y...
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    Calculus of Variations: Shortest distance between two points in 3D space

    Aha, I tried this and I got the Euler equation to be: d/dt [ x' / (x' + y'² + z'²)^(1/2) ] for the function x(t) I also got it for y(t) and z(t) the same way. I tried differentiating w.r.t 't' for all x, y and z, but I don't think I got it right.
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    Calculus of Variations: Shortest distance between two points in 3D space

    I came across this question myself. I used the constrained Euler equation and solved for two dependent variables i.e. y and z. The functional I need to solve is (1 + y'² + z'²)^(1/2) I can't seem to get the equation for the straight line, what is its form?
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    Graduate Fluid Dynamics-D'Alembert's paradox

    Hi, I'm trying to prove D'alembert's paradox, but considering a nonviscous, irrotational flow of a fluid around a cylinder. I used the following webpage to help me, which was very good, but I got to a part where I can't seem to solve, perhaps cause my maths needs some brushing up...
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    How Do You Calculate the Expectation Value of L_z Using cos(φ)?

    Oh yes, forgot about decomposing cosine and sine. I got another question, which is, if given a wave function like u = Acosine(Pi/2a) + B sin(Pix/a) How would I sketch the form of this squared (i.e. the probability distribution)?
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    How Do You Calculate the Expectation Value of L_z Using cos(φ)?

    Homework Statement Hi, my problem is with part two of the question I've attached. I'm not exactly sure what they are expecting me to do, is it simply calculating the expectation value of L_z , from the wavefunction given (i.e. cos(φ)) Thanks.
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    Undergrad Comparing Atomic Gas and Semiconductor Lasers

    Hi, I want to know what the important quantitative differences between the light produced by an atomic gas laser and that produced by a semiconductor laser are? I know that produced my atomic gas lasers are low power but high collimation, but semiconductor lasers seem to have higher power...
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    Atomic gas and Semiconductor Lasers.

    Hi, I want to know what the important quantitative differences between the light produced by an atomic gas laser and that produced by a semiconductor laser are? I know that produced my atomic gas lasers are low power but high collimation, but semiconductor lasers seem to have higher power...
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    Wavefunction obeying Schrodinger equation.

    I've fixed that now. I differentiated the wavefunction using the product rule: using the identity given in the question, I had: d²/dr²[ r. exp(-Zr/a)] Is this what I need to differentiate?
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    Wavefunction obeying Schrodinger equation.

    I forgot to say, that it's the first part of the question which I'm having trouble with.Thanks.
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    Wavefunction obeying Schrodinger equation.

    Homework Statement I've attached my past paper question, which contains the relevant integral identity too. The Attempt at a Solution This question is relatively simple, yet I can't seem to complete it. I used the Schrödinger equation which is: -(ħ²/2m)\nabla^2u + Vu = Eu...