Compute a particle of mass m, which is confined to a 1D box of length a, whose state at time t is described by the following wave function:
ψ(x,t=0) = (1/2)[φ1(x) - iφ2(x) -φ3(x) + iφ4(x)] where φn (x) = √(2/a) sin(nπx/a)
If the value 8π2h2 / ma2(the h is h bar, determine the state of the system after the measurement? Calculate the lowest and highest values of energy that can be obtained when the energy is measured?