How quantum bound states bounce and the structure it reveals

Details How quantum bound states bounce and the structure it reveals How quantum bound states bounce and the structure it reveals

2010-08-30

arxiv.org/abs/1008.5187v2

Eur.Phys.J.A47:41,2011

Physics

Nuclear Physics

Nuclear Theory

final publication version, new lattice results on alpha particle compression, 5 pages, 2 figures

Scientific paper

10.1140/epja/i2011-11041-4

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.

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