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Open AccessArticle

Orthogonal Operators: Applications, Origin and Outlook

by Peter Uylings 1,* and Ton Raassen 1,2
1
Anton Pannekoek Institute for Astronomy, University of Amsterdam, Science Park 904, 1098 XH Amsterdam, The Netherlands
2
SRON Netherlands Institute for Space Research, Sorbonnelaan 2, 3584 CA Utrecht, The Netherlands
*
Author to whom correspondence should be addressed.
Atoms 2019, 7(4), 102; https://doi.org/10.3390/atoms7040102
Received: 19 October 2019 / Revised: 3 November 2019 / Accepted: 8 November 2019 / Published: 13 November 2019
Orthogonal operators can successfully be used to calculate eigenvalues and eigenvector compositions in complex spectra. Orthogonality ensures least correlation between the operators and thereby more stability in the fit, even for small interactions. The resulting eigenvectors are used to transform the pure transition matrix into realistic intermediate coupling transition probabilities. Calculated transition probabilities for close lying levels illustrate the power of the complete orthogonal operator approach. View Full-Text
Keywords: atomic lifetime and oscillator strength determination; theoretical modeling and computational approaches; atomic databases and related topics atomic lifetime and oscillator strength determination; theoretical modeling and computational approaches; atomic databases and related topics
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Uylings, P.; Raassen, T. Orthogonal Operators: Applications, Origin and Outlook. Atoms 2019, 7, 102.

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