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

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

2004-11-02

arxiv.org/abs/quant-ph/0411014v1

Phys.Rev. A70 (2004) 062112

Physics

Quantum Physics

12 pages, 2 figures

Scientific paper

10.1103/PhysRevA.70.062112

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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