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arXiv 1106.1602hep-thmath-phmath.MPnlin.SI
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离散非线性薛定谔模型的缺陷

Defects in the discrete non-linear Schrodinger model

Anastasia Doikou

摘要:

研究了含可积缺陷的离散非线性薛定谔(NLS)模型。这个问题是从一个纯粹的代数的角度来看,从基本的代数关系,规则的模型。明确地构造了对合中的第一荷以及相应的拉克斯对。这些导致了差分方程组,其中包括对应于杂质点的特定项。还提供了关于相应的连续极限的第一个一瞥。

英文摘要:

The discrete non-linear Schrodinger (NLS) model in the presence of an integrable defect is examined. The problem is viewed from a purely algebraic point of view, starting from the fundamental algebraic relations that rule the model. The first charges in involution are explicitly constructed, as well as the corresponding Lax pairs. These lead to sets of difference equations, which include particular terms corresponding to the impurity point. A first glimpse regarding the corresponding continuum limit is also provided.

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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