Exact analytic solution for coherent dynamics of multilevel Jacobi systems with multiphoton laser excitation

V. A. Savva; V. Zelenkov; A. S. Mazurenko

doi:10.1117/12.242151

10 June 1996 Exact analytic solution for coherent dynamics of multilevel Jacobi systems with multiphoton laser excitation

V. A. Savva, V. Zelenkov, A. S. Mazurenko

Author Affiliations +

Proceedings Volume 2802, Laser Chemistry, Biophysics, and Biomedicine; (1996) https://doi.org/10.1117/12.242151
Event: International Conference on Coherent and Nonlinear Optics, 1995, St. Petersburg, Russian Federation

Abstract

A method based on the use of integral transform and orthogonal polynomials is presented to obtain the analytic solutions of the equations for coherent dynamics of multilevel quantum systems as simple molecular models describing molecule-radiation interactions in the high-power laser field and many other processes. As an example the Jacobi polynomials have been used and exact analytic solution has been obtained for dynamics of the family of multilevel Jacobi systems with both equidistant and nonequidistant energy levels, with various dependencies of dipole transition moments on energy, with both resonant and non-resonant laser excitation. Some special cases of the solution for definite systems from the family are given.

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V. A. Savva, V. Zelenkov, and A. S. Mazurenko "Exact analytic solution for coherent dynamics of multilevel Jacobi systems with multiphoton laser excitation", Proc. SPIE 2802, Laser Chemistry, Biophysics, and Biomedicine, (10 June 1996); https://doi.org/10.1117/12.242151

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