  A quantum-mechanical calculation of the single-particle level (s.p.l.)
density $g(\epsilon)$ is carried on by using the connection with the
single-particle Green's function. The relation between the imaginary part of
Green's function and single-particle wave functions is used separately for the
discrete and continuous states. Within the bound-states region the imaginary
part of the Green's function is calculated by using the wronskian theorem. The
Green's function corresponding to the continuum is written by using the regular
and Jost solutions of the radial Schrodinger equation. The smooth part of the
rapidly fluctuating s.p.l. density is calculated by means of the Strutinski
procedure. The continuum component of the s.p.l. density has rather close
values within either exact quantum-mechanical calculations with the Woods-Saxon
(WS) potential, or Thomas-Fermi approximation with WS as well as finite-square
potential wells, provided that the free-gas contribution is subtracted. A
similar trend is obtained by means of the simple FGM formula for the s.p.l.
density if the continuum effect is taken into account.
