Upper and lower bounds on the mean square radius and criteria for occurrence of quantum halo states
arXiv:quant-ph/0411014 · doi:10.1103/PhysRevA.70.062112
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.
12 pages, 2 figures