Compact storage of non-zero Gaunt coefficients \( \langle \ell_1 m_1 | \ell_3 m_3 | \ell_2 m_2 \rangle \).
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| | Gaunt_coefficients (int lmax1__, int lmax3__, int lmax2__, std::function< T(int, int, int, int, int, int)> get__) |
| | Class constructor. More...
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| int | num_gaunt (int lm3) const |
| | Return number of non-zero Gaunt coefficients for a given lm3. More...
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| gaunt_L1_L2< T > const & | gaunt (int lm3, int idx) const |
| | Return a structure containing {lm1, lm2, coef} for a given lm3 and index. More...
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| int | num_gaunt (int lm1, int lm2) const |
| | Return number of non-zero Gaunt coefficients for a combination of lm1 and lm2. More...
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| gaunt_L3< T > const & | gaunt (int lm1, int lm2, int idx) const |
| | Return a structure containing {lm3, coef} for a given lm1, lm2 and index. More...
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| auto | sum_L3_gaunt (int lm1, int lm2, std::complex< double > const *v) const |
| | Return a sum over L3 (lm3) index of Gaunt coefficients and a complex vector. More...
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| T | sum_L3_gaunt (int lm1, int lm2, double const *v) const |
| | Return a sum over L3 (lm3) index of Gaunt coefficients and a real vector. More...
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| std::vector< gaunt_L3< T > > const & | gaunt_vector (int lm1, int lm2) const |
| | Return vector of non-zero Gaunt coefficients for a given combination of lm1 and lm2. More...
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| auto | get_full_set_L3 () const |
| | Return the full tensor of Gaunt coefficients <R_{L1}|R_{L3}|R_{L2}> with a (L3, L1, L2) order of indices. More...
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template<typename T>
class sirius::Gaunt_coefficients< T >
Compact storage of non-zero Gaunt coefficients \( \langle \ell_1 m_1 | \ell_3 m_3 | \ell_2 m_2 \rangle \).
Very important! The following notation is adopted and used everywhere: lm1 and lm2 represent 'bra' and 'ket' spherical harmonics of the Gaunt integral and lm3 represent the inner spherical harmonic.
Definition at line 57 of file gaunt.hpp.
Return a sum over L3 (lm3) index of Gaunt coefficients and a complex vector.
The following operation is performed:
\[ \sum_{\ell_3 m_3} \langle \ell_1 m_1 | \ell_3 m_3 | \ell_2 m_2 \rangle v_{\ell_3 m_3} \]
Result is assumed to be complex.
Definition at line 173 of file gaunt.hpp.
Return a sum over L3 (lm3) index of Gaunt coefficients and a real vector.
The following operation is performed:
\[ \sum_{\ell_3 m_3} \langle \ell_1 m_1 | \ell_3 m_3 | \ell_2 m_2 \rangle v_{\ell_3 m_3} \]
Result is assumed to be of the same type as Gaunt coefficients.
Definition at line 189 of file gaunt.hpp.
