A particle is conned in the region of free space 0

A particle is confined in the region of free space 0 < x < and described by the following ID wave fimction: (we found the expectation value of momentum of a similar wave ftnction last week) 1 (sin x) e it + (sin 3x)e- TT 2 a) Find the mass of this particle (in terms of h). Note that the units may not match, because we did not assign a unit to the width of the square well. b) Ifa measurement of energy is performed on this particle, what are the two possible results? What are the probabilities for each result to occur? c) Find the expectation value oftheenergyofthisparticle by solving the integral (E) _f_m d'*HWdx, and show that (E) does not change with time. d) Calculate the expectation value of the energy of this particle without solving any integrals. What is the probability for a measurement of energy to result in this value?