gaussian

sisl.physics.gaussian(x, sigma=0.1, x0=0.0)

Gaussian distribution function

$$G(x,\sigma ,x_0)=\frac{1}{\sqrt{2\pi {\sigma }^2}}\exp [\frac{-(x-x_0{)}^2}{2{\sigma }^2}]$$

Parameters:

• x (ndarray) – points at which the Gaussian distribution is calculated

• sigma (float) – spread of the Gaussian

• x0 (ndarray, optional) – maximum position of the Gaussian

Returns:

the Gaussian distribution, same length as x

Return type:

numpy.ndarray