Abstract
The “ GW approximation” for the self-energy connected with the one-electron Green's function has been very successful in predicting band structures for a large class of semiconductors and insulators. The physical basis for this approximation and general features of its nonlocality will be discussed, as well as possible improvements. Besides quasiparticle energies the self-energy also gives the “intrinsic part” of the photoelectron spectrum. In general, however, a full description of experimental spectra measured with synchrotron radiation, such as photoemission, Auger spectra and EXAFS, cannot be given by the one-electron Green's function. A new theoretical approach to synchrotron radiation spectroscopies is given in terms of the coupling functions involved in the GW approximation and on-the-energy-shell one-electron Green's functions.
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