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We propose two possible quantum microscopic mechanisms for intervalleytransitions just at the Franck-Condon state in GaAs. The first is thesimultaneously combined coulombic elastic transitions of two electrons,from theoriginally photo-excited $\Gamma$ valley to the mutually opposite L and -Lvalleys in the Brillouin zone. The second is the "elastic" scattering of anelectron from the $\Gamma$ valley to the L one by the frozen phonon, which isnot newly created in the excited state, but already exists, being inheritedfrom the starting ground state, according to the Franck-Condon principle of thephoto-excitation. Surprisingly, we can theoretically show that such the elasticelectron-phonon scattering gives extremely fast time constant of the order of afew tens femtoseconds, as well as the above elastic electron-electronscattering does.

Instantaneous Intervalley Transition just at the Franck-Condon State in the Conduction Band of GaAs