Show that y(x) are eigenfunctions of the Hamiltonian operator with eigenvalues of nh 8ma Using the wave function, y(x) = sin between 0xa. Is your answer reasonable? Explain. a nTX Normalize the wave function y(x) = Asin Why do we normalize a wavefunction? what is the probability of finding the particle in the box NIX a over 0xa. A is the normalization constant.