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Reduction of the Three Dimensional Schrodinger Equation for Multilayered Films

C. Abbott·M. Rasamny·G. W. Fernando
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Abstract

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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C. Abbott, M. Rasamny, G. W. Fernando. 2003-12-27. Reduction of the Three Dimensional Schrodinger Equation for Multilayered Films. https://doi.org/10.1103/physrevb.69.205412

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