- #1
chris_avfc
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Homework Statement
Proton traveling along the x-axis approaches a potential barrier at x = 0
Height of potential barrier - U0 = 20eV
Proton Velocity = 44km/s = 44,000m/s
Asked to show that the solution to the one dimensional time independent Schrödinger equation is
[itex]\psi[/itex](x) = A sin (kx - ϕ)
Homework Equations
I know that when the potential is constant and
V(x) = V0 < E
That the solution is the one given, but only because I have read it, I'm not sure how to get get there myself.
The Attempt at a Solution
Reading about it, what I can get is maybe you treat it as one end of an infinite well, so at the step/wall the wave function has to = 0.
Then the need for it to be zero at the walls and non zero away from the wall requires the addition of half a period.
Hence the phi.
But other than that I don't really get it, could anyone help?
Cheers