J. Wals et Hbv. Vandenheuvel, DETERMINATION OF BIFURCATIONS FROM RECURRENCE PEAKS OF ELECTRONIC WAVEPACKETS IN AN ELECTRIC-FIELD, Journal of physics. B, Atomic molecular and optical physics, 30(4), 1997, pp. 941-949
A new and simple way to determine the bifurcations of electron orbits
in an electric field is presented. From the quantum-mechanical wavepac
ket motion the classical energies at which new orbits bifurcate from t
he uphill and downhill orbits are obtained. This is an application of
the inverse correspondence principle, since the discrete quantum spect
rum is used to calculate classical features of the system. It is shown
that at every bifurcation the periods of wavepacket motion in the rad
ial and angular-momentum coordinate are commensurable. Therefore, all
recurrences seen in electronic wavepacket experiments with Rydberg ato
ms in an electric field are the direct result of these bifurcations. T
o illustrate our point, experimental spectra before and after the bifu
rcation of the so-called 2/3 orbit are presented.