Page 1 of 1
A particle is confined to a one-dimensional "box" of known length L. The particle's position x can take any value betwee
Posted: Wed May 18, 2022 4:30 pm
by answerhappygod
- A Particle Is Confined To A One Dimensional Box Of Known Length L The Particle S Position X Can Take Any Value Betwee 1 (37.88 KiB) Viewed 43 times
A particle is confined to a one-dimensional "box" of known length L. The particle's position x can take any value between 0 and L (x < 0 and x > L are not allowed). At a certain time the particle is in a particular state ). The position-basis wave function (x) is given by 22 (2) V19-(- 1 2L 105 - 2 (1) L2 (a) Obtain the modified wave function © (x) that results from applying the mo- mentum operator to y (x), 0 (x) = pu (2) (b) On the basis of your result, state whether ) is an eigenstate of momentum. Justify your answer. Hint: the position-representation of the momentum operator is p = -ih