2. A quantum particle of mass m moves in one dimension under the influence of an infinitely deep square well potential (IDSW1). (a) Write down (without derivation) an expression for on(x),

the spatial part of the nth energy eigenfunction of Ĥ, and its associated energy eigenvalue. (b) In the second excited state (corresponding to the quantum number n = 3), what is the probability, in a position measurement, of finding the particle in the region L/2 < x <3L/4?