triqs::mesh::matsubara_freq

#include <triqs/mesh/matsubara_freq.hpp>

Detailed Description

Represents a Matsubara frequency \( i\omega_n \).

A Matsubara frequency is defined by an index \( n \), the inverse temperature \( \beta \) and the particle statistics triqs::mesh::statistic_enum:

• for fermions, it takes the values \( i \omega_n = i\frac{2 \pi (n + 1)}{\beta} \) and
• for bosons, it takes the values \( i\omega_n = i\frac{2 \pi n}{\beta} \).

Definition at line 53 of file matsubara_freq.hpp.

Inheritance diagram for triqs::mesh::matsubara_freq:

Public Types
using	cast_t = std::complex<double>
	Value type of a Matsubara frequency.

Public Member Functions
	matsubara_freq ()=default
	Default constructor initializes the Matsubara frequency with zero index, zero inverse temperature and fermionic statistics.
	matsubara_freq (long n_idx, double b, statistic_enum stat)
	Construct a Matsubara frequency with a given index \( n \), inverse temperature \( \beta \) and particle statistics.
long	index () const
	Get the index \( n \) of the Matsubara frequency.
	operator cast_t () const
	Conversion to std::complex<double>.
std::partial_ordering	operator<=> (matsubara_freq const &other) const
	Partial ordering by index when beta and statistic match, unordered otherwise.
bool	operator== (matsubara_freq const &) const =default
	Equality comparison.

Public Attributes
double	beta = 0.0
	Inverse temperature \( \beta \).
long	n = 0
	Matsubara index \( n \).
statistic_enum	statistic = Fermion
	Particle statistics.

Constructor & Destructor Documentation

matsubara_freq()

triqs::mesh::matsubara_freq::matsubara_freq ( long n_idx, double b, statistic_enum stat )

inline

Construct a Matsubara frequency with a given index \( n \), inverse temperature \( \beta \) and particle statistics.

Parameters

n_idx	Matsubara index \( n \).
b	Inverse temperature \( \beta \).
stat	Particle statistics.

Definition at line 80 of file matsubara_freq.hpp.

---

The documentation for this struct was generated from the following file:

• triqs/mesh/matsubara_freq.hpp