sarkas.utilities.maths.betamp
sarkas.utilities.maths.betamp#
- sarkas.utilities.maths.betamp(m, p, alpha, kappa)[source]#
Calculate the integral of the Yukawa Green’s function using
scipy.integrate.quad().\[\beta(p,m) = \int_0^\infty dk \, G_k^2 k^{2 (p + m + 2)}.\]See eq.(37) in [Dharuman et al., 2017].
- Parameters
m (int) – \(m\) index of the sum.
p (int) – \(p\) index of the sum
alpha (float) – Ewald screening parameter \(\alpha\).
kappa (float) – Inverse screening length.
- Return type
- Returns
intgrl (float) – The integral \(\beta(m,p)\).