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beta parameter in qgaussian #63

@giadarol

Description

@giadarol

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):
image

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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