Chapter 5: The Wigner Representation

Wigner representation of a collision of a Gaussian wavepacket with an Eckart. barrier
The Actual Formul
The wavefunction, The Actual Formul associated with the middle movie corresponds to the wavefunction in the animations of Ch. 7
A. Energy < barrier height
v0=75/5 , v1=20/5
Most of the wavepacket is reflected. Note the change in sign of the momentum
(Animation) A.
B. Energy = barrier height
v0=75/9 , v1=20/9
The wavepacket bifurcates with significant positions reflected and significant positions transmitted
(Animation) B.
C. Energy > barrier height
v0=75/22 , v1=20/22
Most of the wavepacket is transmitted. there is no change of sign in momentum
(Animation)