Struct LindhardGas 

pub struct LindhardGas { /* private fields */ }

A free-electron gas of Fermi wavenumber k_F (bohr⁻¹), zero temperature.

Implementations

impl LindhardGas

pub fn from_fermi_wavenumber(kf: f64) -> Self

The gas with Fermi wavenumber kf > 0 (atomic units).

pub fn from_plasma_frequency(wp: f64) -> Self

The gas with plasma frequency wp > 0 (Hartree; ω_p² = 4π n).

pub fn fermi_wavenumber(&self) -> f64

k_F, bohr⁻¹.

pub fn plasma_frequency(&self) -> f64

ω_p = sqrt(4 k_F³/(3π)), Hartree.

pub fn thomas_fermi_wavenumber_sq(&self) -> f64

k_TF² = 4 k_F/π, bohr⁻².

pub fn continuum_upper_edge(&self, q: f64) -> f64

The upper edge of the electron-hole continuum, q k_F + q²/2.

pub fn re_epsilon(&self, q: f64, w: f64) -> f64

Re ε(q, ω) for q > 0, ω >= 0.

pub fn im_epsilon(&self, q: f64, w: f64) -> f64

Im ε(q, ω) for q > 0, ω > 0: zero outside the continuum.

pub fn epsilon(&self, q: f64, w: f64) -> (f64, f64)

ε(q, ω) as (Re, Im).

pub fn loss_continuum(&self, q: f64, w: f64) -> f64

The continuum part of the loss function Im[-1/ε(q, ω)] (zero outside the electron-hole continuum; the plasmon delta function is separate, see Self::plasmon).

pub fn plasmon(&self, q: f64) -> Option<LindhardPlasmon>

The plasmon at momentum q, if it exists (above the continuum).

pub fn plasmon_cutoff(&self) -> f64

The plasmon cutoff momentum q_c: the plasmon exists for q < q_c (it enters the continuum there and is Landau damped).

Trait Implementations

impl Clone for LindhardGas

fn clone(&self) -> LindhardGas

Returns a duplicate of the value.

fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source.

impl Copy for LindhardGas

impl Debug for LindhardGas

fn fmt(&self, f: &mut Formatter<'_>) -> Result

Formats the value using the given formatter.

impl PartialEq for LindhardGas

fn eq(&self, other: &LindhardGas) -> bool

Equality operator ==.

fn ne(&self, other: &Rhs) -> bool

Inequality operator !=.

impl StructuralPartialEq for LindhardGas