4) At time t = 0 a particle is represented by the one-dimensional wave function: O for x 1 where A is a positive real constant. a. Find the normalization constant A. Answer: A = 1 b. Plot (x) and v2(x) as a function of x. c. At what values of x is the particle most likely to be found? Answer: * = d. At what values of x is the particle least likely to be found? Answer: x = -1, 0, 1 e. Find the expectation values (x ) and (x2) Answer: (x) = 0, x2 = 0.283 f. Calculate the uncertainty Ax = (x2 ) -(x) Answer: Ax = 0.532