1: Scattering Theory
-
- 1.7: The Green's Function for a Free Particle
- We have defined the free-particle Green’s function as the operator G^0=(E−H^0)−1 . Its representation in the position basis, ⟨r|G^0|r′⟩ , is called the propagator. As we have just seen, when the Born series is written in the position basis, the propagator appears in the integrand and describes how the particle “propagates” between discrete scattering events.
Thumbnail: Collimated homogeneous beam of monoenergetic particles, long wavepacket which is approximately a planewave, but strictly does not extend to infinity in all directions, is incident on a target and subsequently scattered into the detector subtending a solid angle. The detector is assumed to be far away from the scattering center. (Department of Physics Wiki @ Florida State University).