If there exists some normalized wavefunction ##\psi## that(adsbygoogle = window.adsbygoogle || []).push({}); is nota solution to the Schrödinger equation (1D), what does this mean? You can still presumably use the square of the wave function to ascertain the probability it exists at some interval in space, but does it provide any other useful information about the state of the particle? Why or why not?

Note: I am learning about QM in a physical chemistry course, so I am not familiar with the mathematical nuances of the physics.

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# Wavefunctions that don't satisfy Schrödinger equation

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