a) Show that the particle in a box wavefunctions = Nsin(nnx/L) with 0 < x< L are orthogonal to each other-b) Write a superposition wavefunction for the particle in a box. Why do we write superposition wavefunctions and not just eigenstate wave functions?-Show that ground state wavefunction of the H atom, p = Nexp (-r/2a.), is orthogonal to the 2s orbital-\psi=N\left(2-r / a_{0}\right) \exp \left(-r / 2 a_{0}\right) \text { and the } 2 p_{x} \text { orbital } \psi=N x \cdot \exp \left(-r / 2 a_{0}\right)-Explain why orthogonality is important in creating superposition wavefunctions.

Modern Physics(Physics)

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