WarmUp Exercise #3, 8/31 (Assignment Due 9/2)
A plane wave in one dimension has the form psi = A exp(ikx -iwt),
where k is the wavenumber and w is the angular frequency of the wave.
- Can you normalize this wave function? If so, what is the
normalization?
- If x and -i hbar d/dx are the operators for position and momentum,
respectively, is a plane wave an eigenstate of either x or p? If so,
with what eigenvalue?
- If i hbar d/dt is equivalent to the operator for energy (it is), is a
plane wave an eigenstate of energy? If so, with what eigenvalue
Answer in the form below, a short answer for each is fine.
This report is due by 8:00 am Thursday morning.