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Transitions Between Rydberg States Induced by Short Electric Pulse

Two methods of transition probability calculations between Rydberg states induced by a short electric pulse are suggested. Both methods are based on the solution of classical motion equations. The first approach of analysis of transition probability is based on the action function, the other is based on the Wigner function. The results of these two methods are compared. They are in a good agreement with each other for strong pulses, i.e. in the case of the action increment produced by the pulse is large.