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Upper and lower bounds on the mean square radius and criteria for occurrence of quantum halo states

Fabian Brau
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Abstract

In the context of non-relativistic quantum mechanics, we obtain several upper and lower limits on the mean square radius applicable to systems composed by two-body bound by a central potential. A lower limit on the mean square radius is used to obtain a simple criteria for the occurrence of S-wave quantum halo sates.

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Fabian Brau. 2004-11-02. Upper and lower bounds on the mean square radius and criteria for occurrence of quantum halo states. https://doi.org/10.1103/physreva.70.062112

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