- #1
dyn
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Hi. I have read many times that the Schrodinger equation is a linear equation and so if Ψ1 and Ψ2 are both solutions to the equation then so is Ψ1 + Ψ2. 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 eikx + e-ikx is not a solution to the momentum eigenvalue equation as this also looks like a linear equation ?
Thanks
My main confusion is why a superposition of wavefunctions such as eikx + e-ikx is not a solution to the momentum eigenvalue equation as this also looks like a linear equation ?
Thanks