MatsubaraFrequency

A MatsubaraFrequency{PT} of particle type PT at temperature $T$ and with Matsubara index $n$ can be generated using

T = 1.0
n = 5
v = MatsubaraFrequency(T, n, Fermion) # v = \pi T (2 n + 1) 
w = MatsubaraFrequency(T, n, Boson)   # w = \pi T (2 n    )

Matsubara frequencies can be added, subtracted and their sign can be reversed, producing a new instance of MatsubaraFrequency, potentially of different particle type.

v1 = v + v # typeof(v1) = MatsubaraFrequency{Boson}
v2 = w - v # typeof(v2) = MatsubaraFrequency{Fermion}
v3 = -v    # typeof(v3) = MatsubaraFrequency{Fermion}

Types

MatsubaraFunctions.AbstractParticle — Type

abstract type AbstractParticle

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MatsubaraFunctions.Fermion — Type

struct Fermion <: AbstractParticle

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MatsubaraFunctions.Boson — Type

struct Boson <: AbstractParticle

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MatsubaraFunctions.AbstractMatsubaraFrequency — Type

abstract type AbstractMatsubaraFrequency

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MatsubaraFunctions.MatsubaraFrequency — Type

struct MatsubaraFrequency{PT <: AbstractParticle} <: AbstractMatsubaraFrequency

MatsubaraFrequency type with fields:

T :: Float64 : temperature
val :: Float64 : position on the imaginary axis
idx :: Int64 : Matsubara index

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Functions

MatsubaraFunctions.temperature — Function

function temperature(
    w :: MatsubaraFrequency
    ) :: Float64

Returns w.T

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function temperature(
    grid :: AbstractMatsubaraGrid
    )    :: Float64

Returns grid.T

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function temperature(
    f :: MatsubaraFunction
    ) :: Float64

Returns temperature for which f.grids are defined

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MatsubaraFunctions.value — Function

function value(
    w :: MatsubaraFrequency
    ) :: Float64

Returns w.val

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MatsubaraFunctions.index — Function

function index(
    w :: MatsubaraFrequency
    ) :: Int64

Returns w.idx

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function index( 
    x :: MatsubaraIndex
    ) :: Int64

Returns x.idx

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