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arXiv 0811.3110cond-mat.stat-mechhep-thnlin.SI
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与A_{N-1}根系相关的超对称Polychronakos自旋链的光谱性质

Spectral properties of supersymmetric Polychronakos spin chain associated with A_{N-1} root system

B. Basu-Mallick, Nilanjan Bondyopadhaya

摘要:

利用SU(m)的精确配分函数|n)Polychronakos自旋链,研究了有关谱的统计性质.发现相应的能级密度满足高斯分布,连续能级间距的累积分布服从一定的“对数平方根”规律。

英文摘要:

By using the exact partition function of su(m|n) Polychronakos spin chain associated with A_{N-1} root system, we study some statistical properties of the related spectrum. It is found that the corresponding energy level density satisfies the Gaussian distribution and the cumulative distribution of spacing between consecutive energy levels obeys a certain `square root of a logarithm' law.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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