If ψ 1 and ψ 2 are solutions of the Schrödinger equation for the same energy E , then the linear combination a ψ 1 + b ψ 2 is also a solution.

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Chapter 35, Problem 33P

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To show: If ψ1 and ψ2 are solutions of the Schrödinger equation for the same energy E , then the linear combination aψ1+bψ2 is also a solution.

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