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arXiv math-ph/0411010math-phcond-mat.mes-hallmath.MP
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多层异质结构中基元激励研究的传递矩阵和格林函数

Transfer Matrices and Green Functions for the study of elementary excitations in multilayered heterostructures

R. Perez-Alvarez, F. Garcia-Moliner

摘要:

本文介绍了一种数学工具,关联传递矩阵T,它被证明在研究涉及多层异质结构的广泛的一类物理问题中是有用的。讨论了线性二阶微分矩阵Sturm-Liouville算子的一般性质,作为建立T的一般性质的基础,T也一般地与Green函数G有关。一些恒等式满足T的推导,证明在实践中有用的监测计算过程的数值质量。

英文摘要:

This article is concerned with a mathematical tool, the Associated Transfer Matrix T, which proves useful in the study of a wide class of physical problems involving multilayer heterostructures. General properties of linear, second order differential matrix Sturm Liouville operators are discussed as a basis for establishing general properties of T, which is also generally related to the Green function G. Some identities satisfied by T are derived, which prove useful in practice to monitor the numerical quality of computational processes.

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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