lorentzian

sisl.physics.lorentzian(x, gamma=0.1, x0=0.0)

Lorentzian distribution function

\[L(x,\gamma,x_0) = \frac{1}{\pi}\frac{\gamma}{(x-x_0)^2 + \gamma^2}\]

Parameters

• x (array_like) – points at which the Lorentzian distribution is calculated

• gamma (float, optional) – spread of the Lorentzian

• x0 (float, optional) – maximum position of the Lorentzian

Returns

the Lorentzian distribution, same length as x

Return type

numpy.ndarray