Question

11. A quantum particle in an infinitely deep square well be QIC wave function given by 9x sin for 0 SXS Land zero otherwise, (a) Determine the expec. tation value of x. (b) Determine the probability of finding

Answer 1

- @ Casa r e sin egen , Osuse given Yav VE sin aqui, osusz @ <^7=* * 14 coup de cat si ? ? pa da = 2 x 2 = Popa y completa = 1 * 24. du až - cos de Judo 0.51 0.492 0.99 0.49L + [*- sin aga ta ] 54 p = 0.4.9L 0.0000 5259 © Now Probability in the range, ougacak 8.51L 18.516 '0.494 P- sin znam da = {x4/(costupu ) da -+} [n]. - top [ain 4ru " } 0.512 O . 0.4 ++}(051-0-45) 4 - 5 [ sin ar do I - tin 97020-414] = {0-02-* 4:33.8} = 0019678 P= 0.015678]

in one Dimensional Squere pofontial The Probability of finding the particle in middle liegt 'y maximum compared to other positions. So there's no contradiction between past 7 and 6 + ©.