1. A particle with mass m is confined in an infinite square well with V(x) = 0 for 0

l. A particle with mass m is confined in an infinite square well with V (x) = 0 for 0 x a and 00 everywhere else. The initial wavefunction at time zero is W(x, 0) 5 nx (0 x a). Your answers should be expressed in terms of m, a and other A sin cos physical constants. A. B. D. Determine A. (Hint: use the product-to-sum identities.) Find W(x, t) and the probability density p(x,t). Are they time-dependent or time- independent? find (x) and (p). Are they time-dependent or time-independent? Find Is it time-dependent or time-independent?