Effective VertexQED operator. More...
#include <QED.hpp>
Inherits DiracOperator::TensorOperator.
Public Member Functions | |
| VertexQED (const TensorOperator *const h0, const Grid &rgrid, double a=1.0, double b=1.0) | |
| std::string | name () const override final |
| Returns "name" of operator (e.g., 'E1') | |
| std::string | units () const override final |
| Returns units of operator (usually au, may be MHz, etc.) | |
| double | angularF (const int ka, const int kb) const override final |
| angularF: links radiation integral to RME. RME = <a||h||b> = angularF(a,b) * radial_int(a,b) | |
| double | angularCff (int ka, int kb) const override final |
| double | angularCgg (int ka, int kb) const override final |
| double | angularCfg (int ka, int kb) const override final |
| double | angularCgf (int ka, int kb) const override final |
| VertexQED (const DiracOperator::VertexQED &)=delete | |
| VertexQED & | operator= (const DiracOperator::VertexQED &)=delete |
 Public Member Functions inherited from DiracOperator::TensorOperator | |
| bool | freqDependantQ () const |
| bool | isZero (const int ka, int kb) const |
| If matrix element <a|h|b> is zero, returns true. | |
| bool | isZero (const DiracSpinor &Fa, const DiracSpinor &Fb) const |
| bool | selectrion_rule (int twoJA, int piA, int twoJB, int piB) const |
| virtual void | updateFrequency (const double) |
| Update frequency for frequency-dependant operators. | |
| void | scale (double lambda) |
| Permanently re-scales the operator by constant, lambda. | |
| const std::vector< double > & | getv () const |
| Returns a const ref to vector v. | |
| double | getc () const |
| Returns a const ref to constant c. | |
| int | get_d_order () const |
| bool | imaginaryQ () const |
| returns true if operator is imaginary (has imag MEs) | |
| int | rank () const |
| int | parity () const |
| returns parity, as integer (+1 or -1) | |
| int | symm_sign (const DiracSpinor &Fa, const DiracSpinor &Fb) const |
| returns relative sign between <a||x||b> and <b||x||a> | |
| virtual DiracSpinor | radial_rhs (const int kappa_a, const DiracSpinor &Fb) const |
| radial_int = Fa * radial_rhs(a, Fb) (a needed for angular factor) | |
| virtual double | radialIntegral (const DiracSpinor &Fa, const DiracSpinor &Fb) const |
| Defined via <a||h||b> = angularF(a,b) * radialIntegral(a,b) (Note: if radial_rhs is overridden, then radialIntegral must also be_. | |
| double | rme3js (const int twoja, const int twojb, int two_mb=1, int two_q=0) const |
| ME = rme3js * RME. | |
| DiracSpinor | reduced_rhs (const int ka, const DiracSpinor &Fb) const |
| <a||h||b> = Fa * reduced_rhs(a, Fb) (a needed for angular factor) | |
| DiracSpinor | reduced_lhs (const int ka, const DiracSpinor &Fb) const |
| <b||h||a> = Fa * reduced_lhs(a, Fb) (a needed for angular factor) | |
| double | reducedME (const DiracSpinor &Fa, const DiracSpinor &Fb) const |
| The reduced matrix element. | |
| double | fullME (const DiracSpinor &Fa, const DiracSpinor &Fb, std::optional< int > two_ma=std::nullopt, std::optional< int > two_mb=std::nullopt, std::optional< int > two_q=std::nullopt) const |
| Returns "full" matrix element, for optional (ma, mb, q) [taken as int 2*]. If not specified, returns z-component (q=0), with ma=mb=min(ja,jb) | |
Static Public Member Functions | |
| static double | a (double z) |
| Fitting factor for hyperfine. Default a(Z) | |
| static std::vector< double > | vertex_func (const Grid &rgrid, double a, double b, std::vector< double > v={}) |
| Takes existing radial vector, multiplies by: More... | |
Additional Inherited Members | |
| Protected Member Functions inherited from DiracOperator::TensorOperator | |
| TensorOperator (int rank_k, Parity pi, double constant=1.0, const std::vector< double > &inv={}, int diff_order=0, Realness RorI=Realness::real, bool freq_dep=false) | |
| Protected Attributes inherited from DiracOperator::TensorOperator | |
| int | m_rank |
| Parity | m_parity |
| int | m_diff_order |
| Realness | opC |
| bool | m_freqDependantQ {false} |
| double | m_constant |
| std::vector< double > | m_vec |
Detailed Description
Effective VertexQED operator.
Takes in any TensorOperator (DiracOperator) h, and forms the corresponding effective QED vertex operator, defined:
\[ \hat h_{\rm vertex} = A \alpha \exp(-b r / \lambda_c) \]
where
\[ \lambda_c = 1/ \alpha \approx 137 \]
A and b are fitting factors; typically b=1
Member Function Documentation
◆ vertex_func()
|
inlinestatic |
Takes existing radial vector, multiplies by:
a(Z) * a0 * exp( - b * r / a0). a0 = alpha = 1/137. b=1 by default. A should be fitted. a(Z) = 1.0 + 28.5/Z nb: can give it an empty vector, to just get the exponential function
The documentation for this class was generated from the following file:
- DiracOperator/Operators/QED.hpp
