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    I'm stumped on what seems a fairly simple set of simultaneous equations to solve, but I just can't get to the answer. Any hints would be appreciated, but not a worked solution, please.

    The equations are:











    And the desired solution is:



    For anyone who's interested, it's just applying continuity and smoothness to wavefunctions on either side of a square potential barrier.
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    (Original post by Kyle_S-C)
    I'm stumped on what seems a fairly simple set of simultaneous equations to solve, but I just can't get to the answer. .
    I think the above is a misuse of the English language.
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    (Original post by steve2005)
    I think the above is a misuse of the English language.
    Apologies, I rewrote the first bit of the sentence after previewing the whole post and didn't realise I'd said the same thing twice. I blame lack of food, concentration and simultaneous equations.

    Thanks for your contribution. :p:
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    i was expecting something like

    A + B = 2

    2A + B = 5

    this is waaayyyyy beyond me. useless i know, but i'm just that bored.

    apologies
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    You've given us 5 equations involving 8 variables (I'm assuming i here means the square root of -1) and somehow your solution introduces new variables E and V...

    Context might help.
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    Given that it seems to be a quantum problem, alpha, a k, E and V_0 are almost certainly constants.

    I would start by dividing the second equation by i*alpha, then adding and subtracting with the first one to get F and G, then sub that into the third and fourth, and see where that leads you.
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    (Original post by Swayum)
    You've given us 5 equations involving 8 variables (I'm assuming i here means the square root of -1) and somehow your solution introduces new variables E and V...

    Context might help.
    Good point, sorry, I was trying to condense it down to the minimum information, but left out too much. As Scipio pointed out, E and V0 are constants and the ratio k/alpha is only a function of E and V0. I'll have another stab at solving it myself; I was just getting rather frustrated with it (and knackered) at the time.

    I may try to work it backwards or something. What's frustrating is that this algebraic manipulation should be the simple bit...
 
 
 
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