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If Ψ1 and Ψ2 are two solutions of Schrodinger Wave equation then which of the following is also a solution?

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If Ψ1 and Ψ2 are two solutions of Schrodinger Wave equation then which of the following is also a solution?

(a) Ψ1/Ψ2

(b) Ψ1Ψ2

(c) Ψ2/Ψ1

(d) Ψ1 + Ψ2

I got this question in semester exam.

The doubt is from Linearity & Superposition topic in chapter Quantum Physics of Engineering Physics I

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The correct option is (d) Ψ1 + Ψ2

Easy explanation: Since Schrodinger equation is linear in Ψ, the addition of two solutions of the equation is also a solution of the same equation.

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