Possibility of Detecting a Small Time-Reversal-Noninvariant Term in the Hamiltonian of a Complex System by Measurements of Energy-Level Spacings

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Abstract
We have studied how a small time-reversal—noninvariant term in the Hamiltonian of a complex system affects the theoretical statistical distributions of its energy levels. We find that the major effect on the nearest-neighbor spacing distribution is in its shape near the origin. Thus, it is concluded that experimental observation of such a term by measurement of statistical distributions of energy levels is very difficult. However, one can find an upper bound to the strength of such a perturbation by such measurements.

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