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The implementation of this method seems not correct (valid only for q=1)
@staticmethod
def sqrt_beta(sigma, mathlib=MathlibDefault):
assert sigma > 0
return 1 / (mathlib.sqrt(2) * sigma)The general expression should be implemented (see wikipedia):

The cases q>5/3 for which the standard deviation of distribution is not defined are not of interest for spacechargs studies.
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