1. Constructing a Wave Packet In class we looked at constructing a wave packet, 111(33, 0), from a Gaussian amplitude function, (a) {4 marks) Using any method you wish (Excel, C++, Python, etc.), and any graphing platform you wish, plot this function over a range of suitable k-values for three different values of CE. The idea is to choose or-values to make the width of the Gaussian function (i) very narrow, (ii) moderate, and (iii) broad. You may choose any value of C you wish, or C = 1 to make things simple. Label the axes and include a legend to make the graph look as professional as possible. (b) {4 marks) Now plot the wavefunction, 111(33, ll), over a suitable range of .1: using the same value of C and the same three values of 0:, where we, 0) = arewar . {c} {2 marks) Calculate the standard deviations of the three amplitude functions and the three corresponding wavefuactions. What observations do you have regarding the rela- tionships between the values of or and 0' for the three values of or