We study C60 with the use of Thomas-Fermi theory. A spherical shell model is invoked to treat the nuclear potential, where the nuclear and core charges are smeared out into a shell of constant surface charge density. The valence electron distribution and the electrostatic potential are efficiently computed by integration of the Thomas-Fermi equation, subject to the shell boundary conditions. To...

The in-plane static screening of the field originated by a charge placed in a graphene sheet is investigated. A self-consistent field equation in the real space domain is obtained by using a suitable Thomas-Fermi procedure. Exact and approximated (for qualitative considerations) solutions are presented. In the case of a charged sheet, the screened potential presents a tail dependent on the free...

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The statistical Thomas-Fermi model is applied to a comprehensive survey of macroscopic nuclear properties. The model uses a Seyler-Blanchard effective nucleonnucleon interaction, generalized by the addition of one momentum-dependent and one density-dependent term. The adjustable parameters of the interaction were fitted to shell-corrected masses of 1654 nuclei, to the diffuseness of the nuclear...

Thomas-Fermi theory is developed to evaluate nuclear matrix elements on the average. One and two body matrix elements are compared with quantal results and it is demonstrated that the semiclassical matrix elements nicely follow the quantal values on the mean. Various physical situations are ad-dresed where the semiclassical evaluation of the one and two body matrix elements can be useful.

A refined three-dimensional version of the time-dependent Thomas-Fermi model is used to qualitatively study the explosion of rare-gas atomic clusters in an intense laser field. Clusters as large as 55 atoms are exposed to a strong subpicosecond laser pulse. A stepwise character of the explosion is observed in which atomic shells are expelled sequentially. The role of ‘‘hot’’ electron dynamics i...

A common, natural view about probabilities, shared by phllosophers of diverse persuasions, is that probabilities are graded possibilities.1 On this view, which I will presuppose, there are no probabilities without underlying possibilities, and there is room for different notions of probability at least to the extent that there are different underlying notions of possibility. In this paper I wan...