Class fermi_dirac_integ_gsl (o2scl)¶
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class
o2scl
::
fermi_dirac_integ_gsl
¶ Compute the fermion integrals for a non-relativistic particle using the GSL functions.
This class performs direct computation of the Fermi-Dirac integral
\[ F_{a}(\mu) = \int_0^{\infty} \frac{x^a}{1+e^{x-\mu}} \, . \]using the functions from GSL.Note that the GSL definition of the Fermi-Dirac integral includes an additional factor of \( 1/\Gamma(a+1) \) which is not included here.
This class is used in in
o2scl::fermion_thermo_tl
,o2scl::fermion_tl
ando2scl::fermion_nonrel_tl
to compute the Fermi-Dirac integrals for non-relativistic fermions.Public Functions
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double
calc_1o2
(double y)¶ Fermi-Dirac integral of order \( 1/2 \).
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double
calc_m1o2
(double y)¶ Fermi-Dirac integral of order \( -1/2 \).
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double
calc_3o2
(double y)¶ Fermi-Dirac integral of order \( 3/2 \).
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double
calc_2
(double y)¶ Fermi-Dirac integral of order \( 2 \).
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double
calc_3
(double y)¶ Fermi-Dirac integral of order \( 3 \).
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double