How quantum bound states bounce and the structure it reveals
Abstract
We investigate how quantum bound states bounce from a hard surface. Our analysis has applications to ab initio calculations of nuclear structure and elastic deformation, energy levels of excitons in semiconductor quantum dots and wells, and cold atomic few-body systems on optical lattices with sharp boundaries. We develop the general theory of elastic reflection for a composite body from a hard wall. On the numerical side we present ab initio calculations for the compression of alpha particles and universal results for two-body states. On the analytical side we derive a universal effective potential that gives the reflection scattering length for shallow two-body states.
Cite
@article{arxiv.1008.5187,
title = {How quantum bound states bounce and the structure it reveals},
author = {Dean Lee and Michelle Pine},
journal= {arXiv preprint arXiv:1008.5187},
year = {2011}
}
Comments
final publication version, new lattice results on alpha particle compression, 5 pages, 2 figures