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arXiv 0904.4517math-phhep-thmath.MPmath.SP
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加权超膜玩具模型

Weighted Supermembrane Toy Model

Douglas Lundholm

摘要:

介绍了一种研究超对称矩阵模型零能态的加权Hilbert空间方法。应用到一个相关的,但技术上更简单的模型,它表明,相应的加权哈密顿量的频谱简化成为纯粹的离散足够的权重。这是由一个矩阵值薛定谔算子的负本征值个数的界得出的。

英文摘要:

A weighted Hilbert space approach to the study of zero-energy states of supersymmetric matrix models is introduced. Applied to a related but technically simpler model, it is shown that the spectrum of the corresponding weighted Hamiltonian simplifies to become purely discrete for sufficient weights. This follows from a bound for the number of negative eigenvalues of an associated matrix-valued Schrödinger operator.

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