โ Scribed by H.J.G. Meyer
No coin nor oath required. For personal study only.
conjecture an example using (1) has been treated. At the beginning of the process the electronic state was given by a wave-packet, the oscillator was assumed to be in the ground state. After half a period of the lattice oscillation, we find the electron being in part in bound states, which are connected with excited oscillator states. After one full period the initial state is essentially restored. This is of course a consequence of our simple model, in which only one oscillator is taken into account. Here further investigations are necessary. The following numerical example is given: If the binding energy of the electron is 0.1 eV, the transition probability for a 4-phonon process turns out to be about 10 It sec -1. This transition probability is at least by a factor of 104 greater than that given by the usual Born-Oppenheimer-approximation.
๐ SIMILAR VOLUMES
A semi-empirical theory of radiative transitions of trapped electrons in polar crystals is developed using a model in which the crystal is considered to consist of a large number of harmonic oscillators all having the same frequency co and which are coupled to the impurity centre by a coupling linea