A Electron-Hole- or Many-Electron Exchange Interaction

[Nabla94]

Hello together,

I'm interested in the electron-hole exchange energy. I would like to see how and have a proof why electron-hole exchange works. Is it symmetric or antisymmetric? More specific, I would like to have a proof that exchange with paired electrons in a molecule can be neglected. However - the more general the better.

In order to proof it, one probably has to regard the many-electron exchange interaction. I found
The Universal Hamiltonian of the Exchange Interaction for the System of Particles with an Arbitrary Spin j - E. Orlenko (2007)
but I don't quite get the notation and they do not mention electron-hole exchange.

I'm grateful for any hint, help or tip for literature.

 

[PeterDonis]

I'm interested in the electron-hole exchange energy.

Where are you getting the concept of "electron-hole exchange" from, and what kinds of experiments are you referring to?

 

[Nabla94]

Electron-hole exchange interaction in a biexciton molecule - W.Ungier (1989)
Effective Theory of Electron-Hole Exchange in Semiconductor Quantum Dots - E. S. Kadantsev (2010)

Both are a bit too specific for me.
The triplet-singlet energy splitting in conjugated molecules results from the exchange between them.
Actually, this exchange is a many-electron exchange but
1) The concept of a hole should be able to also deal with the exchange, right?
2) Paired electrons should not contribute too much, since the exchange with one cancelles the other.