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jaejoon89
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Homework Statement
Show that Y(x,t) = cos(kx)exp(-iwt) is a solution to the time-dependent Schrodinger wave equation.
where k is the wavenumber and w is the angular frequency
Homework Equations
Hamiltonian of Y(x,t) = ihbar d/dt Y(x,t)
The Attempt at a Solution
When I plug everything in and do the calculus, I get
(hbar / 2m)*k^2 = w
I've been paying around with it but for the life of me cannot figure out how the left hand side is equal to w even though the unit check suggests it could. So my question is, how can you simplify the left hand side to w
(hbar / 2m)*k^2 = ?