Expansion coefficients of the coherent states in the basis of Hamiltonian eigenstates contain information about the local character of motion of a quantum system. The author analyses three quantities: the minimal number of relevant eigenvectors, the sum of moduli of coefficients and the Shannon entropy of a coherent state, and show that all of them might be used as indicators of quantum chaos. They also allow one to distinguish between three known universality classes. Results obtained are confirmed by a numerical study of kicked tops.
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Karol Życzkowski (1990) studied this question.
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