1. The problem statement, all variables and given/known data If a state is a linear combination of two energy eigenstates, does its wavefunction satisfy the time independent shrodinger equation? I guess in general, how would I show if the wavefunctions of a state does or does not satisfy the time-independent schrodinger equation? 2. Relevant equations [tex]H\left| E \right\rangle=E\left|E\right\rangle[/tex] [tex]\psi_\alpha(x)=\left\langle x |\alpha\right\rangle[/tex] 3. The attempt at a solution Honestly have no idea what to do.