Q1 (5 points) A 1D infinite square well is defined in the region of 0

QI (5 points) A ID infinite square well is defined in the region of 0 < x < 4. A particle is placed at the central location (i.e., at x = 2) of the well att = 0. (a) Write down the initial wave function of the particle. (b) Derive the wave function for the particle at a later time t. Leave your result as a summation.