Just like it says, are all solutions of the 1D time independent Schrodinger equation, by default, energy eigenstates? I'm having a hard time imagining how solutions, with these conditions, that(adsbygoogle = window.adsbygoogle || []).push({}); aren'tenergy eigenstates could exist if they have to satisfy the relation

[tex] E \psi(x)=\hat{H}\psi(x)[/tex]

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# Are all solns. of the 1D time independent Schrodinger Equation energy eigenstates?

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