JACOBI ROTATIONS IN THE INVERSE TASK OF DETERMINATION OF VIBRONIC COUPLING PARAMETERS AT RESONANCE CONDITIONS
Abstract
We have found an exact solution to the task of determination of the energies of the non-perturbed states ai and vibronic coupling matrix elements bi that describe the vibronic analogue of the complex Fermi resonance, using the experimental data represented by the energies ek (obs) and the transition intensities Ik (obs) (k = 1, 2, …, n) in an observed absorption spectrum. The algorithm consists of two stages. At the first stage, the Jacobi rotations are used to construct a similarity transformation X with the requirement (X1k)2 = Ik (obs) that corresponds to the condition that there is only one non-perturbed «bright» state. At the second stage, the algebraic eigenvalue problem for the matrix Xdiag({ek (obs)})X –1 is employed to find ai and bi values.
About the Author
V. A. KUZMITSKY
Командно-инженерный институт МЧС Республики Беларусь, Минск
Belarus
Belarus
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