lorentzian

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

Lorentzian distribution function

\[L(x,\gamma,x_0) = \frac1\pi\frac{\gamma}{(x-x_0)^2 + \gamma^2}\]

Parameters:

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

• gamma – spread of the Lorentzian

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

Returns:

numpy.ndarray – the Lorentzian distribution, same length as x