Radial profile of an FDM halo (M_h = 7 × 10¹¹ M_⊙ and m_ψ = 10⁻²² eV at z = 0.9), neglecting quantum fluctuations (solid black line). The inner profile of the halo is dominated by the soliton structure (dot-dashed red line). At r = r_sol, the profile transitions to a standard NFW dark matter halo (dashed blue line). The radial variance of the fluctuations, given by Eq. (21) (dot-dashed grey line) is shown in arbitrary units.