- The absolute square of a wave function for a free particle is given as:
Find the expected value of as a function of time. Find the expected
value of as a function of time. Compute the RMS x-width of this
wave packet as a function of time.
- Find the commutator
where is a constant and the second operator can be expanded as
- Which of the following are linear operators?
- For a free particle, the total energy operator H is given by
Compute the commutators [H,x] and [H,p]. If a particle is in a
state of definite energy, what do these commutators tell you about
how well we know the particle's position and momentum?
- Find the commutator .
- Compute the commutator where is the Hamiltonian for a free particle.