An electron is subject to a uniform, time-independent, magnetic field of strength B in the z-direction At t 0 an electron is prepared in an lying in the rz-plane, that makes an eigenstate of S n with eigenvalue h/2, wheren is a unit vector angle B with the z-axis. (a) What is the probability of finding the electron spin in the Sa = h/2 state as a function of time? (b) Find (Sa) as a function of time (c) Check the limiting cases as discussed in class to confirm your answers.
An electron is subject to a uniform, time-independent, magnetic field of strength B in the z-direction At t 0 an electron is prepared in an lying in the rz-plane, that makes an eigenstate of S n with eigenvalue h/2, wheren is a unit vector angle B with the z-axis. (a) What is the probability of finding the electron spin in the Sa = h/2 state as a function of time? (b) Find (Sa) as a function of time (c) Check the limiting cases as discussed in class to confirm your answers.
Related questions
Question
100%
It's a
![An electron is subject to a uniform, time-independent, magnetic field of strength B in the z-direction
At t 0 an electron is prepared in an
lying in the rz-plane, that makes an
eigenstate of S n with eigenvalue h/2, wheren is a unit vector
angle B with the z-axis.
(a) What is the probability of finding the electron spin in the Sa = h/2 state as a function of time?
(b) Find (Sa)
as a function of time
(c) Check the limiting
cases as discussed in class to confirm your answers.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff9faf22f-10a8-4cb5-bec9-d63452f6293a%2F4fceb0c5-a49b-42c6-88a9-7f039aed7742%2Fpx5kxz4.png&w=3840&q=75)
Transcribed Image Text:An electron is subject to a uniform, time-independent, magnetic field of strength B in the z-direction
At t 0 an electron is prepared in an
lying in the rz-plane, that makes an
eigenstate of S n with eigenvalue h/2, wheren is a unit vector
angle B with the z-axis.
(a) What is the probability of finding the electron spin in the Sa = h/2 state as a function of time?
(b) Find (Sa)
as a function of time
(c) Check the limiting
cases as discussed in class to confirm your answers.
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
Trending now
This is a popular solution!
Step by step
Solved in 10 steps with 9 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)