Form of a Plane Wave? - Solving the Schrodinger Equation

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Homework Statement


The psi function for a free particle is e^(i(kx-wt))

But does it satisfy the SE?

Homework Equations


SE


The Attempt at a Solution


I get w=hk^2/(4(pi)m) when plugged into the SE

but does w really equal that?
 
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E=hbar w = hbar^2 k^2 / 2m
 
christianjb said:
w = hbar^2 k^2 / 2m
There's one hbar too many in there, no?
 

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