Physics – Quantum Physics
Scientific paper
1997-10-21
Physics
Quantum Physics
13 pages, Latex
Scientific paper
10.1119/1.18987
There exists a simple relationship between a quantum-mechanical bound-state wave function and that of nearby scattering states, when the scattering energy is extrapolated to that of the bound state. This relationship is demonstrated numerically for the case of a spherical well potential and analytically for this and other soluble potentials. Provided that the potential is of finite range and that the binding is weak, the theorem gives a useful approximation for the short-distance behaviour of the scattering wave functions. The connection between bound and scattering-state perturbation theory is established in this limit.
Faeldt Goeran
Wilkin Colin
No associations
LandOfFree
Bound and Unbound Wave Functions at Short Distances does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Bound and Unbound Wave Functions at Short Distances, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Bound and Unbound Wave Functions at Short Distances will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-80046