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We generalize the method and the results of paper I (G. Carmi, preceding paper) to find the generators of a point transformation which maps the xᵢ, i=1, , n, into any set of functions ωᵢ(x₁, , xₙ), i=1, , n, within a certain, quite wide family, for which these generators can be written in closed form, with the object of applications to a quantum many-body method developed by Gross et al.
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Gideon Carmi (1973) studied this question.
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