yambo-code / yambo

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INV and RWA integrators notes #95

Open andreamarini opened 1 month ago

andreamarini commented 1 month ago

Again on the RT_integrators.

Can you please share here the math underlying the INV and RWA integrators?

I can't get the INV math from the suborutines.

The RWA puzzles me as it should not be an approximation but a rotating frame representation (RWF) that is exact as it eliminates the independent particle oscillations.

Actually it is based on the popular solution of a system of first order linear ODEs using diagonalization of the linear coefficient.

https://www.math.uh.edu/~dblecher/EMo.pdf

In the case of G^< the matrix to diagonalize is already diagonal.

sangallidavide commented 1 month ago

Can you please share here the math underlying the INV and RWA integrators?

Andrea, from what I remember, you coded the RWA. :-)

For the INV it comes from yambo_nl. I also attach here the notes sent via email. integrators.pdf

The RWA puzzles me as it should not be an approximation but a rotating frame representation (RWF) that is exact as it eliminates the independent particle oscillations.

Yeap, fully agree. I already commented in the past that it should not be called RWA, since it is not an approximation