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## Full-Text Articles in Physics

Analytic Solutions For Three-State Systems With Overlapping Pulses, C. E. Carroll, Foek T. Hioe

#### Analytic Solutions For Three-State Systems With Overlapping Pulses, C. E. Carroll, Foek T. Hioe

*Physics Faculty/Staff Publications*

Two classes of analytic solutions for three-state systems involving two overlapping laser pulses of different shapes, or of similar shapes but with their centers displaced, are presented. We find a remarkable connection between the order of arrival of the two overlapping pulses and the effectiveness of transfer from the ground state to the third state, and we find remarkable results for the maximum occupation probability of the intermediate state. The approach of these analytic solutions to the adiabatic-following process is also demonstrated.

Analytic Solution Of The Two-State Problem, C. E. Carroll, Foek T. Hioe

#### Analytic Solution Of The Two-State Problem, C. E. Carroll, Foek T. Hioe

*Physics Faculty/Staff Publications*

An exact solution of the time-dependent Schrodinger equation is obtained for a simple model with only two quantum states. The calculated transition probability involves only exponential and hyperbolic functions.