Because if I do not offset by x0, then the wavepacket impacts the step at exactly t=0. Therefore to watch it scatter you must set the time range to be from -t to t. In the period -t to 0 the wavepacket starts off slightly dispersed, becoming less dispersed until it hits the barrier. This is...
Well not really: when I work through the maths, this factor should work fine in all situations, but in practice it only works when E>V0. If you have any idea why this might be then I would be very grateful. I'm fairly certain its not a problem with my code as I have applied it in many different...
Hello,
I am writing a Fortran 95 program to model the scattering of a wavepacket by a potential step of height V0 at x=0. My wavepacket is formed by the superposition of numerous travellling waves of different k values. The wavepacket has the dispersion relation ω(k)=k2. I want the wavepacket...