A non-resonant fermion-fermion term in the Lehmann representation of ThreePointSusceptibility. More...

#include <ThreePointSusceptibilityPart.hpp>

Data Structures
struct	Hash
	Hasher for non-resonant fermion-fermion terms. More...

struct	IsNegligible
	Predicate: Does a term have a negligible residue? More...

struct	KeyEqual
	Similarity predicate for non-resonant fermion-fermion terms. More...

Public Member Functions
	NonResonantFFTerm ()=default

	NonResonantFFTerm (ComplexType Coeff, RealType P1, RealType P2)

ComplexType	operator() (ComplexType z1, ComplexType z2) const

NonResonantFFTerm &	operator+= (NonResonantFFTerm const &AnotherTerm)

Static Public Member Functions
static MPI_Datatype	mpi_datatype ()
	Create and commit an MPI datatype for NonResonantFFTerm. More...

Data Fields
ComplexType	Coeff = 0
	Coefficient \(C\). More...

std::array< RealType, 2 >	Poles = {{0, 0}}
	Poles \(P_1\), \(P_2\). More...

long	Weight = 0

Detailed Description

A non-resonant fermion-fermion term in the Lehmann representation of ThreePointSusceptibility.

It is parametrized by a complex coefficient \(C\) and positions of real poles \(P_1, P_2\). An explicit expression for the term reads \(\frac{C}{(z_1-P_1)(z_2-P_2)}\).

Definition at line 66 of file ThreePointSusceptibilityPart.hpp.

Constructor & Destructor Documentation

◆ NonResonantFFTerm() [1/2]

Pomerol::ThreePointSusceptibilityPart::NonResonantFFTerm::NonResonantFFTerm ( )

default

◆ NonResonantFFTerm() [2/2]

Pomerol::ThreePointSusceptibilityPart::NonResonantFFTerm::NonResonantFFTerm	(	ComplexType	Coeff,
		RealType	P1,
		RealType	P2
	)

inline

Constructor.

Parameters

[in]	Coeff	Coefficient of the term \(C\).
[in]	P1	Pole \(P_1\).
[in]	P2	Pole \(P_2\).

Definition at line 142 of file ThreePointSusceptibilityPart.hpp.

Member Function Documentation

◆ mpi_datatype()

static MPI_Datatype Pomerol::ThreePointSusceptibilityPart::NonResonantFFTerm::mpi_datatype ( )

static

Create and commit an MPI datatype for NonResonantFFTerm.

◆ operator()()

ComplexType Pomerol::ThreePointSusceptibilityPart::NonResonantFFTerm::operator()	(	ComplexType	z1,
		ComplexType	z2
	)		const

inline

Substitute complex frequencies \(z_1, z_2\) into this term.

Parameters

[in]	z1	Complex frequency \(z_1\).
[in]	z2	Complex frequency \(z_2\).

Definition at line 521 of file ThreePointSusceptibilityPart.hpp.

◆ operator+=()

NonResonantFFTerm& Pomerol::ThreePointSusceptibilityPart::NonResonantFFTerm::operator+= ( NonResonantFFTerm const & AnotherTerm )

Add a non-resonant fermion-fermion term to this term.

This operator does not check similarity of the terms! Parameters of this term are updated as follows.

Coeff += AnotherTerm.Coeff
Poles[i] = (Poles[i] * Weight + AnotherTerm.Poles[i] * AnotherTerm.Weight) / (Weight + AnotherTerm.Weight)
Weight += AnotherTerm.Weight
Parameters

[in] AnotherTerm Term to add.