1. a. b. A particle of mass m is in an excited stationary state of an infinite square potential with an initial wave function plotted as below. 1" l .1'; I O a .L' In the range 0 ? What is the standard deviation for the momentum operator op? (Hint: utilizing the conclusions in c and fcan help avoid some integration.) What is the position expectation value ? (Hint: symmetry argument suffices too.) What is the standard deviation for the position operator ox? (you can use the following integral after an time interval At = . x3 x2 1 . x formula: I 3:2 sun2 ax dx = ( ) sm Zax cos Zax + C) 6 4:1 8:13 4:12 9) since OCR