2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/17132We investigate, both analytically and numerically, the behavior of the electron gas on a sphere in the presence of point-like impurities. We find a criterion when the disorder can be regarded as small one and the main effect is the broadening of rotational multiplets. In the latter regime the statistics of one impurity-induced band is studied numerically. The energy level spacing distribution function follows the law P(s) ~ s exp(-a s^b) with 1<b<2. The number variance shows various possibilities, strongly dependent on the chosen model of disorder.11 pages, REVTEX, 9 eps figures; references added to Sec.3Mesoscale and Nanoscale Physicstext