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- Demonstrate that the function y = exp(timx) is simultaneously eigenfunction of an d P=-i dx andProve that Ψ is normalized in a one-particle, one-dimensional system.Consider the operators d/dx and d²/dx². Is y (x) Aeikx an +Be-ikx eigenfunction of these operators? If so, what are the eigenvalues? A, B, and k are real numbers. =
- 4. Given these operators A=d/dx and B=x², can you measure the expectation values of the corresponding observables to infinite precision simultaneously?(a) Consider a wavefunction of the form: =1+x-1Is the function w(x) = sinx an eigenfunction for the linear momentum operator, 6.? If yes, what is the eigenvalue? O Yes, the eigenvalue is -1 Yes, the eigenvalue is sinx O Yes, the eigenvalue is – in O NoSEE MORE QUESTIONS