%0 Journal Article %T On the Lindemann Criterion for Quantum Clusters at Very Low Temperature %A Guardiola, R. %A Navarro, J. %J Journal of Physical Chemistry A %D 2011 %V 115 %N 25 %I Amer Chemical Soc %@ 1089-5639 %G English %F Guardiola+Navarro2011 %O ISI:000291895500012 %O exported from refbase (https://references.ific.uv.es/refbase/show.php?record=669), last updated on Tue, 02 Aug 2011 15:57:02 +0000 %X The Lindemann criterion to discern the solid-like or liquid-like nature of a quantum cluster at T = 0 is discussed. A critical analysis of current Lindemann parameters is presented and a new parameter is proposed that is appropriate to study quantum clusters made of identical particles. A simple model wave function is introduced to fix the range of variation of these parameters. The model presents two extreme limits that correspond to either a liquid-like or a solid-like system; besides, it fulfills the Bose symmetry and also permits evaluations without symmetrization. Variational and diffusion Monte Carlo calculations are also performed for clusters of spinless bosons interacting through Lennard-Jones potentials. It is shown that the liquid-like or solid-like character of quantum clusters at zero temperature cannot be simply established in terms of a single parameter. %R 10.1021/jp1111313 %U https://doi.org/10.1021/jp1111313 %P 6843-6850