Reduction of the Three Dimensional Schrodinger Equation for Multilayered Films

Details Reduction of the Three Dimensional Schrodinger Equation for Multilayered Films Reduction of the Three Dimensional Schrodinger Equation for Multilayered Films

2003-12-27

arxiv.org/abs/cond-mat/0312661v1

Physics

Condensed Matter

14 pages, 1 figure

Scientific paper

10.1103/PhysRevB.69.205412

In this paper, we present a method for reducing the three dimensional Schrodinger equation to study confined metallic states, such as quantum well states, in a multilayer film geometry. While discussing some approximations that are employed when dealing with the three dimensionality of the problem, we derive a one dimensional equation suitable for studying such states using an envelope function approach. Some applications to the Cu/Co multilayer system with regard to spin tunneling/rotations and angle resolved photoemission are discussed.

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