(VI) Consider a 1D system defined by the following potential V() = 1 otherwise The particle is thus confined to a potential well and the particle position is re (L.L), which is symmetric around the origin (r = 0). Notice that the wavefunction is constrained by the boundary conditions, i.e., V(L) = V(L) = 0. Note: When searching for solutions, your answer should include wavefunctions of both odd and even symmetry! A: What are the wavefunctions (x) that are solutions of the time-independent Schrdinger equation? What is their symmetry (even vs. odd functions)? B: What is the expectation value for the momentum and position operators for a quantum particle in this ID infinite potential well? C: Are these results compatible with the Heisenberg uncertainty principle? Provide a detailed