TY - JOUR AU - Guardiola, R. AU - Navarro, J. PY - 2011 DA - 2011// TI - On the Lindemann Criterion for Quantum Clusters at Very Low Temperature T2 - J. Phys. Chem. A JO - Journal of Physical Chemistry A SP - 6843 EP - 6850 VL - 115 IS - 25 PB - Amer Chemical Soc AB - 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. SN - 1089-5639 UR - https://doi.org/10.1021/jp1111313 DO - 10.1021/jp1111313 LA - English N1 - ISI:000291895500012 ID - Guardiola+Navarro2011 ER -