On the stueckelberg formula for non-adiabatic transitions

Abstract

The phase corrected Stueckelberg and Landau-Zener formulae for the non-adiabatic transition probability in a two state problem are compared. It is shown that validity criteria on the derivation of the former imply precise equivalence between the two formulations for the linear curve crossing problem; but the Stueckelberg approach is seen to have greater flexibility. A proposed uniformization of the Stueckelberg form for use at low velocities is shown to be incorrect.