Gaussian potential implemented
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using NuclearToolkit
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using SpecialFunctions
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# Gaussian potentials in HO space
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gl(R, l, n) = throw("unimplemented")
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N_nl(n, l) = sqrt(2*factorial(n) / gamma(l + n + 3/2)^3)
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prefactor(n, l, k) = (-1)^k * binomial(n + l + 1/2, n - k) / factorial(k)
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Talmi(l, R, k1, k2) = (1/2) / (1 + 1/R^2)^(3/2 + l + k1 + k2) * gamma(3/2 + l + k1 + k2)
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V_Gaussian(R, l, n1, n2) = N_nl(n1, l) * N_nl(n2, l) * sum([prefactor(n1, l, k1) * prefactor(n2, l, k2) * Talmi(l, R, k1, k2) for (k1, k2) in Iterators.product(0:n1, 0:n2)])
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function get_sp_basis(E_max)
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Es = Int[]
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