106
7 Coulomb Wave Functions
Fig. 7.2 Partial wave expansion of the Coulomb wave function for k = 2 and γ = 1, and angular
momenta l = 0, 1, 2, and 3
-100
-50
0
-100
50
100
z
0
100
0
100 -100
-1
-0.5
0
0.5
1
Fig. 7.3 Coulomb scattering k = 2, η = 1. Color coded visualization of the real value of ψ k (r, z),
Eq. (7.17a), for r = 100
with P l (cos(θ )) the Legendre polynomial. An example for the first four terms is
shown in Fig. 7.2.
7.3
Program Details and Applications
7.3.1 The SPECFUNPHYS Class coulombwave
The SPECFUNPHYS Class coulombwave allows the computation of the Coulomb
wave functions based on a spherical representation of the Schrödinger equation.
7 Coulomb Wave Functions
Fig. 7.2 Partial wave expansion of the Coulomb wave function for k = 2 and γ = 1, and angular
momenta l = 0, 1, 2, and 3
-100
-50
0
-100
50
100
z
0
100
0
100 -100
-1
-0.5
0
0.5
1
Fig. 7.3 Coulomb scattering k = 2, η = 1. Color coded visualization of the real value of ψ k (r, z),
Eq. (7.17a), for r = 100
with P l (cos(θ )) the Legendre polynomial. An example for the first four terms is
shown in Fig. 7.2.
7.3
Program Details and Applications
7.3.1 The SPECFUNPHYS Class coulombwave
The SPECFUNPHYS Class coulombwave allows the computation of the Coulomb
wave functions based on a spherical representation of the Schrödinger equation.