Solution to Schrodinger's Equation Homework Statement

[Skullmonkee]

Homework Statement

Show that the function \Psi(x,t)=Asin(kx- \omega t) does not satisfy the time-independent Schrodinger Equation.

Homework Equations

Time independet SE

The Attempt at a Solution

I think i have to solve for derivative of \Psi(x,t)/t and second derivative of \Psi(x,t)/x but I'm not sure how to answer the question.

I attempted to differentiate the wave function with respect to time and space so that i got
\partial\Psi(x,t)/\partial t = -\omega Acos(kx-\omegat)
and that \partial^2\Psi(x,t)/\partial x^x = -kAsin(kx-\omegat)

If so, how do i prove that the original function does not satisfy the TDSE?

 

[Niles]

The time-independent Schrödinger equation says Hψ = Eψ, where E is the eigenvalue. The Hamiltonian will tell you what to differentiate with respect to.