Sentence examples for green function is given from inspiring English sources

The comparisons show that the best overall prediction of the exact Green function is given by the asymmetric approximation which remains accurate down to a Strouhal number of 1/2.

where the local Green function is given by (2.11).

end{aligned} (11) Here, the non-interacting impurity Green function is given by begin{aligned} {G}_{mathrm{imp}}^{R 0)} omega)^{-1}=omega+ mu-Delta omega).

Here, the non-interacting impurity Green function is given by begin{aligned} {G}_{mathrm{imp}}^{R 0)} omega)^{-1}=omega+ mu-Delta omega).

where Green's function is given by (1.5).

The retarded Green's function is given by G = [ E + S − H − Σ L − Σ R ] − 1 (5).

Taking an average of the above two expressions and noting, we obtain (1.4), where Green's function is given by (A11).

The Green's function is given by: Gleft(mathbf{r}-{mathbf{r}}^{mathbf{prime}}right)=frac{ exp left ikleft|mathbf{r}-{mathbf{r}}^{mathbf{prime}}right|right)}{4pi left ikleft|mathbf{r}-{mathbf{r}bf{prime}}right|} (5).

Then, according to [21], a definition and properties of the ordinary Green's function are given.

The extensive treatments of the ARPES data in terms of Green's function are given elsewhere[10].

In [10 15] and [20 22], only an upper bound of corresponding Green's function was given and thus only a one-side Lyapunov inequality could be obtained.