Assembly: Meta.Numerics (in Meta.Numerics.dll) Version: 220.127.116.11 (18.104.22.168)
|C#||Visual Basic||Visual C++||F#|
The angular momentum number, which must be non-negative.
The charge parameter, which can be postive or negative.
The radial distance parameter, which must be non-negative.
Return ValueThe value of FL(η,ρ).
The Coulomb wave functions are the radial wave functions of a non-relativistic particle in a Coulomb potential.
They satisfy the differential equation:
A repulsive potential is represented by η > 0, an attractive potential by η < 0.
F is oscilatory in the region beyond the classical turning point. In the quantum tunneling region inside the classical turning point, F is exponentially supressed.
Many numerical libraries compute Coulomb wave functions in the quantum tunneling region using a WKB approximation, which accurately determine only the first handfull of digits; our library computes Coulomb wave functions even in this computationaly difficult region to nearly full precision -- all but the last 3-4 digits can be trusted.
The irregular Coulomb wave functions GL(η,ρ) are the complementary independent solutions of the same differential equation.
|System..::..ArgumentOutOfRangeException||L or rho is negative.|