How quantum bound states bounce and the structure it reveals
Department of Physics, North Carolina State University, 27695, Raleigh, NC, USA
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Accepted: 27 February 2011
Published online: 21 March 2011
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.
© SIF, Springer-Verlag Berlin Heidelberg, 2011