Hi. I have read many times that the Schrodinger equation is a linear equation and so if Ψ(adsbygoogle = window.adsbygoogle || []).push({}); _{1}and Ψ_{2}are both solutions to the equation then so is Ψ_{1}+ Ψ_{2}. Is this use of the word linear the same as generally used for differential equations ? As the Schrodinger equation is also an eigenvalue equation for the Hamiltonian.

My main confusion is why a superposition of wavefunctions such as e^{ikx}+ e^{-ikx}is not a solution to the momentum eigenvalue equation as this also looks like a linear equation ?

Thanks

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# I Linear equations and superposition of wavefunctions

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