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arXiv 0712.3760hep-th
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同柱间隙与矩阵模型

Homolumo Gap and Matrix Model

I. Andric, L. Jonke, D. Jurman, H. B. Nielsen

摘要:

从随机矩阵理论出发,讨论了概率分布与高斯系综相关联的动态矩阵模型。我们把矩阵M解释为一个表示玻色子系统与单个费米子相互作用的哈密顿量。我们证明了二次量子化费米子系统通过在最高占据本征值和最低未占据本征值之间产生间隙来影响整个系统的基态。

英文摘要:

We discuss a dynamical matrix model by which probability distribution is associated with Gaussian ensembles from random matrix theory. We interpret the matrix M as a Hamiltonian representing interaction of a bosonic system with a single fermion. We show that a system of second-quantized fermions influences the ground state of the whole system by producing a gap between the highest occupied eigenvalue and the lowest unoccupied eigenvalue.

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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