SIMBAD references

Among different models of dark matter, the so-called quantum (or `fuzzy') cold dark matter plays an important role as it allows removing cuspy halo profiles and an abundance of low mass haloes, which are predicted by cold dark matter models but have never been observed. The basic idea of the quantum cold dark matter is the existence of extremely light bosonic particles whose expected masses are of the order of 10-22 eV or even as small as 10-24 eV. With such a small mass, the particle's behaviour in galactic dark matter haloes is described by the Schrödinger equation with a gravitational potential term. In this paper, two previously introduced quantum models of dark matter are reconsidered and the probability densities predicted by these models are compared to the astronomically established density profiles of dark matter haloes of the Milky Way and a dwarf galaxy. By imposing these astronomical constraints on the quantum models, it is shown that the models do reproduce well the Einasto profile with index n ~ 0.56. However, the models can neither account for the total masses and halo shapes of these two galaxies, nor other galaxies, using the same dark matter elementary particle. Possible improvements of the quantum models that could potentially remove this deficiency are discussed.