Form of a Plane Wave? - Solving the Schrodinger Equation

[pivoxa15]

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?

 

[christianjb]

E=hbar w = hbar^2 k^2 / 2m

 

[quasar987]

w = hbar^2 k^2 / 2m

There's one hbar too many in there, no?