Estimation of exponentially small
FranckCondon factors in the framework of phase space distributions
Seminar in BGU at Oct. 23, 2002
Abstract
We study a radiationless transition in a polyatomic molecule when the
electronic energy of an excited electronic state is
transferred to vibrational degrees of freedom of the nuclei, and when some
nuclear coordinates change abruptly. The rate of the
transition is proportional to the square of the Franck  Condon integral,
or an overlap integral between the nuclear components of
the wavefunctions. In the Wigner representation, the bulk of the phase
space overlap integral goes from a region near the point (q*, p*) on the
surface of constant energy where the Wigner function is maximal. This
dominant contribution is estimated analytically. Results are illustrated
for harmonic, Morse, and Poeschl  Teller oscillators.


















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