Log optimizations
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@ -2,11 +2,9 @@ using NuclearToolkit
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using SpecialFunctions
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# Gaussian potentials in HO space
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inv_factorial(n) = Iterators.prod(inv.(1:n))
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sqrt_factorial(n) = Iterators.prod(sqrt.(n:-1:1))
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N_lnk(l, n, k) = (-1)^(n-k) * inv_factorial(k) * binomial(n+l+1/2, n-k) * sqrt_factorial(n) / sqrt(gamma(n+l+3/2))
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Talmi(l, R, k1, k2) = (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) = sum([N_lnk(l, n1, k1) * N_lnk(l, n2, k2) * Talmi(l, R, k1, k2) for (k1, k2) in Iterators.product(0:n1, 0:n2)])
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log_N(l, n, k) = -logfactorial(n)/2 + logabsbinomial(n, k)[1] + loggamma(n + l + 3/2)/2 - loggamma(k + l + 3/2)
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log_Talmi(l, R, k1, k2) = -(3/2 + l + k1 + k2) * log(1 + 1/R^2) + loggamma(3/2 + l + k1 + k2)
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V_Gaussian(R, l, n1, n2) = (-1)^(n1 + n2) * sum([(-1)^(k1 + k2) * exp(log_N(l, n1, k1) + log_N(l, n2, k2) + log_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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