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Test each function to see if it is an eigenfunction of the operator. If it is,...

Test each function to see if it is an eigenfunction of the operator. If it is, what is the eigenvalue? If it is not, can you write it as a superposition of functions (i.e. a sum of functions) that is an eigenfunction of that operator.

pˆ → i~ d dx (1)

φ1(x) = Ae−ikx φ2(x) = Ae+ikx φ2(x) = A sin kx (2)

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