The one-dimensional motion of a particle, restricted to the region 0 ≤ ≤ , is
described by the wave function:
() = sin (
)
where C is a normalization constant.
Calculate :
(i) the constant C;
(ii) the probability that the particle is in the interval ½ ≤ ≤ ,
(iii) the probability that the particle is in the interval /4 ≤ ≤ 3/4 ,
(iv) expectation value of , the position of the particle
