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.

this question is about the hydrogen atom in quantum mechanics!

Do you know Niels Bohr's assumptions that his theory is based on? Do you know examples from your real life situation for quantized observables?

Distinguish between classical physics and quantum physics.