EXACT SOLUTIONS FOR MANY-LEVEL-MULTIPLE-RESONANCE PROBLEMS.

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1965

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Ohio State University

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Abstract

The matrix elements of the time development operator are obtained exactly for the influence of many resonant or near-resonant fields on a system with a finite number of levels for arbitrary initial conditions in a wide class of problems. Perturbative techniques are presented which enable the treatment of all perturbations exactly to a desired order. As examples, a three level double resonance and two eight level triple resonance systems are given. The applications of these exact solutions to the treatment of perturbations, including relaxation phenomena, is presented using both standard perturbation theory and density matrix techniques.

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This research is supported by the Atomic Energy Commission. Karl Freed: National Science Foundation Fellow, 1963-1965.
Author Institution: Department of Chemistry, Harvard University

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