The infinite square well: 1. A particle in the (non-symmetric) infinite square well of width a has the initial wave function ,0) Asin 0sxsa where A is a real constant a) Using trigonometric identities first write down (x,0) in terms of the energy eigenfunctions (x) b) Determine A e) Find (x,t) d) Calculate (x) and (H) for any time t> 0.