How quantum bound states bounce and the structure it reveals

Dean Lee; Michelle Pine

doi:10.1140/epja/i2011-11041-4

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arXiv · 1008.5187

How quantum bound states bounce and the structure it reveals

Dean Lee·Michelle Pine

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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.

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nucl-th cond-mat.mes-hall cond-mat.quant-gas hep-lat

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Dean Lee, Michelle Pine. 2011-03-01. How quantum bound states bounce and the structure it reveals. https://doi.org/10.1140/epja%2Fi2011-11041-4

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