functions in fermi.i -
fd12
|
fd12(x) return Fermi-Dirac integral of order 1/2, fd12(x) = integral[0 to inf]{ dt * t^0.5 / (exp(t-x)+1) } accurate to about 1e-12 | |
SEE ALSO: |
fdm12,
fd32,
fd52,
ifdm12,
ifd12,
ifd32,
ifd52 |
fd32
|
fd32(x) return Fermi-Dirac integral of order 3/2, fd32(x) = integral[0 to inf]{ dt * t^1.5 / (exp(t-x)+1) } accurate to about 1e-12 | |
SEE ALSO: |
fdm12,
fd12,
fd52,
ifdm12,
ifd12,
ifd32,
ifd52 |
fd52
|
fd52(x) return Fermi-Dirac integral of order 5/2, fd52(x) = integral[0 to inf]{ dt * t^2.5 / (exp(t-x)+1) } accurate to about 1e-12 | |
SEE ALSO: |
fdm12,
fd12,
fd32,
ifdm12,
ifd12,
ifd32,
ifd52 |
fdm12
|
fdm12(x) return Fermi-Dirac integral of order -1/2, fdm12(x) = integral[0 to inf]{ dt * t^-0.5 / (exp(t-x)+1) } accurate to about 1e-12 | |
SEE ALSO: |
fd12,
fd32,
fd52,
ifdm12,
ifd12,
ifd32,
ifd52 |
fermi
|
#include "fermi.i" Fermi-Dirac integrals and inverses of orders -1/2, 1/2, 3/2, 5/2 Antia, H. M., Aph.J. 84, p.101-108 (1993) | |
SEE ALSO: |
fdm12,
fd12,
fd32,
fd52,
ifdm12,
ifd12,
ifd32, ifd52 |
ifd12
|
ifd12(y) return x = inverse of Fermi-Dirac integral of order 1/2, y = integral[0 to inf]{ dt * t^0.5 / (exp(t-x)+1) } accurate to about 1e-8 | |
SEE ALSO: |
ifdm12,
ifd32,
ifd52,
fdm12,
fd12,
fd32,
fd52 |
ifd32
|
ifd32(y) return x = inverse of Fermi-Dirac integral of order 3/2, y = integral[0 to inf]{ dt * t^1.5 / (exp(t-x)+1) } accurate to about 1e-8 | |
SEE ALSO: |
ifdm12,
ifd12,
ifd52,
fdm12,
fd12,
fd32,
fd52 |
ifd52
|
ifd52(y) return x = inverse of Fermi-Dirac integral of order 5/2, y = integral[0 to inf]{ dt * t^2.5 / (exp(t-x)+1) } accurate to about 1e-8 | |
SEE ALSO: |
ifdm12,
ifd12,
ifd32,
fdm12,
fd12,
fd32,
fd52 |
ifdm12
|
ifdm12(y) return x = inverse of Fermi-Dirac integral of order -1/2, y = integral[0 to inf]{ dt * t^-0.5 / (exp(t-x)+1) } accurate to about 1e-8 | |
SEE ALSO: | ifd12, ifd32, ifd52, fdm12, fd12, fd32, fd52 |