Gurkenglas comments on Multiple Worlds, One Universal Wave Function

[Gurkenglas]

If a1 is 2 and phi1 has eigenvalue 3, and a2 is 4 and phi2 has eigenvalue 5, then 2*phi1+3*phi2 is mapped to 6*phi1+20*phi2 and therefore not an eigenfunction.

[evhub]

Ah, I see the confusion. Since we’re in a wave mechanics setting, I should have written $\hat{H}\Psi =i\overline{h}\frac{\partial }{\partial t}\Psi$ rather than $\hat{H}\Psi =E\Psi$.