- A system is in the state
. Calculate
and
.
- Find the eigenvalues and eigenfunctions (in terms of the
angles and ) of .
- Consider a beam of particles with . A measurement
of yields the result . What values will be
obtained by a subsequent measurement of , and with what probabilities? Repeat the calculation for the cases in which the
measurement of yields the results and .
- The Hamiltonian for an axially symmetric rotator is given by

What are the eigenvalues of ?

Richard Fitzpatrick 2010-07-20