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19 April 2024
 
  » arxiv » 1008.5187

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How quantum bound states bounce and the structure it reveals
Dean Lee ; Michelle Pine ;
Date 31 Aug 2010
AbstractWe 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 universal results for two-body states and discuss ab initio calculations for general few-body systems. On the analytical side we derive a universal effective potential that gives the reflection scattering length for shallow two-body states.
Source arXiv, 1008.5187
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