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

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

2004-11-02

arxiv.org/abs/math-ph/0411010v1

Physics

Mathematical Physics

11 pages, none figures. Submitted to Physica Scripta

Scientific paper

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.

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