Suppose that ψ1 and ψ2 satisfy the time independent Schrödinger equation for some potential. Which of the following necessarily also satisfies the Schrödinger equation?

Question

Cψ1ψ∗2
aψ1+bψ2
Aψ1/ψ2
Cψ1ψ2
In accorda

Answer 1

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Answer 2

None of them. Unless ψ1 and ψ2 are solutions with the same energy eigenvalue (in which case we say that this eigenvalue is degenerate), the linear combination aψ1+bψ2 won't be a solution to the time independent Schrödinger equation.