“…The estimates of oscillator strength of the transition f 2,1;1,0 (S) (8), dipole moment of the transition D 2,1;1,0 (S) (6), polarizability A''(ω, a) (11), and cross section σ abs (ω,a) (9) of absorption of a light wave with frequency ω (in this case, ratio (ω/ω 2,1 (S)) 2 =9 10 -2 and the wave frequency ω lies in the infrared region) at the above Coulomb states of the electron appearing over a spherical surface (QD of metal -matrix silicate glass) are given in the table. If we take into account the fact (see the table) that the oscillator strength f 2,1;1,0 ≈ 0.4 and the dipole moment D 2,1;1,0 ≈ 1.85 (where ( e D = 0 Ǻ), (Debye)) of the transition over a spherical surface QDs of metal of radii a=10 nm assume giant values (exceeding the typical values of oscillator strength and dipole moments in matrix silicate glass by two orders of magnitude [1][2][3][4][5] and dipole transitions between the nearest Coulomb levels E nl (a) (4) in QDs in the electromagnetic field are allowed by the selection rules with a change (or preservation) of principal quantum number n and with a change in orbital quantum number l by unity [7], the quasi-zero-dimensional nanosystems under investigation are obviously strongly absorbing nanostructures for infrared radiation.…”