- An electron in the Hydrogen potential
is in the state
.
Find the value of that properly normalizes the state.
What is the probability that the electron be found in the ground state of Hydrogen?
- An electron is in the state of hydrogen.
Find its wave function in momentum space.
- A spin particle is in an eigenstate of with eigenvalue
at time . At that time it is placed in a constant magnetic field in the
direction. The spin is
allowed to precess for a time . At that instant, the magnetic field is very quickly
switched to the direction. After another time interval , a measurement of the
component of the spin is made. What is the probability that the value
will be found?
- Consider a system of spin . What are the eigenstates and eigenvalues of the
operator ? Suppose a measurement of this quantity is made, and the system is
found to be in the eigenstate with the larger eigenvalue. What is the probability that
a subsequent measurement of yields
?
- Let's define the u axis to be in the x-z plane, between the positive x and z axes and at
an angle of 30 degrees to the x axis. Given an unpolarized spin beam
of intensity going into the following Stern-Gerlach apparati, what intensity comes out?

Jim Branson 2013-04-22