The quantum spectrum is studied in a corresponding classically nonintegrable triangular three-spin system with antiferromagnetic exchange coupling. A critical energy Ec is identified numerically. Irregularly distributed (bandlike) levels and well-separated clusters of (localized) levels appear below and above Ec, respectively. The statistical average of second-order differences of eigenvalues shows a scaling behavior when the spin magnitude is increased towards +{∞}.
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Nakamura et al. (1985) studied this question.
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