We investigate the predictions of random-matrix theory for the eigenvector statistics and compare them with eigenmodes of kicked tops under conditions of classical chaos. The well-known ${\mathrm{\chi }}_{\nu }^2$ distribution finds an interesting application with ν=1, 2, and 4 for the orthogonal, unitary, and symplectic universality class, respectively. The change of the eigenvector statistics accompanying the classical transition from chaotic to regular motion is also considered.

• Received 28 March 1990

DOI:https://doi.org/10.1103/PhysRevA.42.1013