THE ENergy eigenststes |f> in position basis for a triangle potential well are called ariy function let theses ariy function be represent by for n going from 1 to infinty the energy eigenstste in position basis for an infinite squre well potential of width a n() = 2/a sin(n pi x/a) for n =0 to infinity the system is in state |j> = 1/2^0.5 |f1>+i/2^0.5|f2> where = fn(x)

expand |j> in terms of the energy eigenststes of the infinite square well given the mathematical experssions