About the Project
33 Coulomb FunctionsVariables ρ,η

Β§33.3 Graphics

Contents
  1. Β§33.3(i) Line Graphs of the Coulomb Radial Functions Fℓ⁑(Ξ·,ρ) and Gℓ⁑(Ξ·,ρ)
  2. §33.3(ii) Surfaces of the Coulomb Radial Functions F0⁑(η,ρ) and G0⁑(η,ρ)

Β§33.3(i) Line Graphs of the Coulomb Radial Functions Fℓ⁑(Ξ·,ρ) and Gℓ⁑(Ξ·,ρ)

See accompanying text
Figure 33.3.1: Fℓ⁑(Ξ·,ρ), Gℓ⁑(Ξ·,ρ) with β„“=0, Ξ·=βˆ’2. Magnify
See accompanying text
Figure 33.3.2: Fℓ⁑(Ξ·,ρ), Gℓ⁑(Ξ·,ρ) with β„“=0, Ξ·=0. Magnify
See accompanying text
Figure 33.3.3: Fℓ⁑(Ξ·,ρ), Gℓ⁑(Ξ·,ρ) with β„“=0, Ξ·=2. The turning point is at ρtp⁑(2,0)=4. Magnify
See accompanying text
Figure 33.3.4: Fℓ⁑(Ξ·,ρ), Gℓ⁑(Ξ·,ρ) with β„“=0, Ξ·=10. The turning point is at ρtp⁑(10,0)=20. Magnify

In Figures 33.3.5 and 33.3.6

33.3.1 Mℓ⁑(Ξ·,ρ)=(Fβ„“2⁑(Ξ·,ρ)+Gβ„“2⁑(Ξ·,ρ))1/2=|Hℓ±⁑(Ξ·,ρ)|.
See accompanying text
Figure 33.3.5: Fℓ⁑(Ξ·,ρ), Gℓ⁑(Ξ·,ρ), and Mℓ⁑(Ξ·,ρ) with β„“=0, Ξ·=15/2. The turning point is at ρtp⁑(15/2,0)=30=5.47⁒…. Magnify
See accompanying text
Figure 33.3.6: Fℓ⁑(Ξ·,ρ), Gℓ⁑(Ξ·,ρ), and Mℓ⁑(Ξ·,ρ) with β„“=5, Ξ·=0. The turning point is at ρtp⁑(0,5)=30 (as in Figure 33.3.5). Magnify

§33.3(ii) Surfaces of the Coulomb Radial Functions F0⁑(η,ρ) and G0⁑(η,ρ)

See accompanying text
Figure 33.3.7: F0⁑(Ξ·,ρ), βˆ’2≀η≀2, 0≀ρ≀5. Magnify 3D Help
See accompanying text
Figure 33.3.8: G0⁑(Ξ·,ρ), βˆ’2≀η≀2, 0<ρ≀5. Magnify 3D Help