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Gaussian[sigma] ket
Gaussian[sigma, dx] ket
implements a Gaussian superposition centred on ket, with sigma the standard deviation
if dx is not specified, it defaults to 1, where dx is step size

    the algorithm:
exp( - ED(x, y) / (2 * sigma ^ 2))
where ED(x, y) is the Euclidean distance between x and y

Gaussian[0.7] |40>
    0.016880|36> + 0.046830|37> + 0.129923|38> + 0.360448|39> + |40> + 0.360448|41> + 0.129923|42> + 0.046830|43> + 0.016880|44>

-- bar-chart of 1D version:
bar-chart[50] Gaussian[0.7] |age: 35>
    ----------
    age: 31 : |
    age: 32 : ||
    age: 33 : ||||||
    age: 34 : ||||||||||||||||||
    age: 35 : ||||||||||||||||||||||||||||||||||||||||||||||||||
    age: 36 : ||||||||||||||||||
    age: 37 : ||||||
    age: 38 : ||
    age: 39 : |
    ----------

-- 2D version:
Gaussian[0.5] |10: 10>
    0.003493|8: 8> + 0.011423|8: 9> + 0.018316|8: 10> + 0.011423|8: 11> + 0.003493|8: 12> + 0.011423|9: 8> + 0.059106|9: 9> + 0.135335|9: 10> + 0.059106|9: 11> + 0.011423|9: 12> + 0.018316|10: 8> + 0.135335|10: 9> + |10: 10> + 0.135335|10: 11> + 0.018316|10: 12> + 0.011423|11: 8> + 0.059106|11: 9> + 0.135335|11: 10> + 0.059106|11: 11> + 0.011423|11: 12> + 0.003493|12: 8> + 0.011423|12: 9> + 0.018316|12: 10> + 0.011423|12: 11> + 0.003493|12: 12>