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?
[tex]H\left| E \right\rangle=E\left|E\right\rangle[/tex]
[tex]\psi_\alpha(x)=\left\langle x |\alpha\right\rangle[/tex]
The Attempt at a Solution
Honestly have no idea what to do.