NESSi  v1.0.2 The NonEquilibrium Systems Simulation Library

## ◆ Bubble1() [2/4]

template<class GGC , class GGA , class GGB >
 void cntr::Bubble1 ( int tstp, GGC & C, int c1, int c2, GGA & A, int a1, int a2, GGB & B, int b1, int b2 )

Evaluate a bubble diagram ( $$C$$) from two-time contour functions $$A,B$$ at the time step; $$C_{c_1,c_2}(t_1,t_2) = i A_{a_1,a_2}(t_t,t_2) * B_{b_2,b_1}(t_2,t_1)$$.

Purpose

Evaluate the two-time contour function $$C$$ represented as a bubble diagram with two-time functions $$A,B$$; $$C_{c_1,c_2}(t_1,t_2) = i A_{a_1,a_2}(t_t,t_2) * B_{b_2,b_1}(t_2,t_1)$$. This evaluation is done at the time step (i.e. $$t_1$$ or $$t_2$$ is the time step) for all components (retarded, lesser, left-mixing and Matsubara). The evaluated value of $$i A_{a_1,a_2}(t_t,t_2) * B_{b_2,b_1}(t_2,t_1)$$ is stored at $$C_{c_1,c_2}(t_1,t_2)$$. Here $$A$$ and $$B$$ are assumed to have the hermitian symmetry.

Parameters
 tstp Time step. C Two-time contour object in the Matrix form defined as $$C_{c_1,c_2}(t_1,t_2) = i A_{a_1,a_2}(t_t,t_2) * B_{b_2,b_1}(t_2,t_1)$$. c1 First index of the matrix $$C$$. c2 Second index of the matrix $$C$$. A Two-time contour object in the Matrix form with the hermitian symmetry. a1 First index of the matrix $$A$$. a2 Second index of the matrix $$A$$. B Two-time contour object in the Matrix form with the hermitian symmetry. b1 'Second' index of the matrix $$B$$. b2 'First' index of the matrix $$B$$.

Definition at line 205 of file cntr_bubble_impl.hpp.

References Bubble1().

206  {
207  herm_matrix_timestep_view<typename GGC::scalar_type> ctmp(tstp, C);
208  herm_matrix_timestep_view<typename GGA::scalar_type> atmp(tstp, A);
209  herm_matrix_timestep_view<typename GGB::scalar_type> btmp(tstp, B);
210  Bubble1(tstp, ctmp, c1, c2, atmp, a1, a2, btmp, b1, b2);
211 }
void Bubble1(int tstp, GGC &C, int c1, int c2, GGA &A, GGA &Acc, int a1, int a2, GGB &B, GGB &Bcc, int b1, int b2)
Evaluate a bubble diagram ( ) from two-time contour functions at the time step; ...
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