A resonant term in the Lehmann representation of ThreePointSusceptibility. More...

#include <ThreePointSusceptibilityPart.hpp>

Data Structures
struct	Hash
	Hasher for resonant terms. More...

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

struct	KeyEqual
	Similarity predicate for resonant terms. More...

Public Member Functions
	ResonantTerm ()=default

	ResonantTerm (ComplexType Coeff, RealType P, int xi)

ComplexType	operator() (ComplexType z1, ComplexType z2, RealType DeltaTolerance=1e-16) const

ResonantTerm &	operator+= (ResonantTerm const &AnotherTerm)

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

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

RealType	P = 0
	Pole \(P\). More...

int	xi = 1
	Coefficient \(\xi\). More...

long	Weight = 0

Detailed Description

A resonant term in the Lehmann representation of ThreePointSusceptibility.

It is parametrized by a complex coefficient \(C\), position of a real pole \(P\) and a coefficient \(\xi\) that controls how the bosonic frequency is computed. An explicit expression for the term reads \(\frac{C}{z_1-P}\delta_{z_1, \xi z_2}\).

Definition at line 282 of file ThreePointSusceptibilityPart.hpp.

Constructor & Destructor Documentation

◆ ResonantTerm() [1/2]

Pomerol::ThreePointSusceptibilityPart::ResonantTerm::ResonantTerm ( )

default

◆ ResonantTerm() [2/2]

Pomerol::ThreePointSusceptibilityPart::ResonantTerm::ResonantTerm	(	ComplexType	Coeff,
		RealType	P,
		int	xi
	)

inline

Constructor.

Parameters

[in]	Coeff	Coefficient of the term \(C\).
[in]	P	Pole \(P\).
[in]	xi	Coefficient \(\xi\).

Definition at line 359 of file ThreePointSusceptibilityPart.hpp.

Member Function Documentation

◆ mpi_datatype()

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

static

Create and commit an MPI datatype for ResonantTerm.

◆ operator()()

ComplexType Pomerol::ThreePointSusceptibilityPart::ResonantTerm::operator()	(	ComplexType	z1,
		ComplexType	z2,
		RealType	DeltaTolerance = `1e-16`
	)		const

inline

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

Parameters

[in]	z1	Complex frequency \(z_1\).
[in]	z2	Complex frequency \(z_2\).
[in]	DeltaTolerance	Tolerance for the resonance detection.

Definition at line 530 of file ThreePointSusceptibilityPart.hpp.

◆ operator+=()

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

Add a resonant term to this term.

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

Coeff += AnotherTerm.Coeff
P = (P * Weight + AnotherTerm.P * AnotherTerm.Weight) / (Weight + AnotherTerm.Weight)
Weight += AnotherTerm.Weight
Parameters

[in] AnotherTerm Term to add.