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# Set of simultaneous equations watch

1. 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.
2. (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.
3. (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.

4. 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
5. 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.
6. 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.
7. (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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