Abstract
A description for the eigenvector statistics of classical chaotic systems with a time reversal destroying part of the Hamilton operator is proposed in closed form. We have checked our form by a numerical simulation of a model system capable to show all intermediate stages between orthogonal and unitary behaviour, and proved the superiority to a chi-square distribution.
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Życzkowski, K., Lenz, G. Eigenvector statistics for the transitions from the orthogonal to the unitary ensemble. Z. Physik B - Condensed Matter 82, 299–303 (1991). https://doi.org/10.1007/BF01324340
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DOI: https://doi.org/10.1007/BF01324340